Multiples of 8

multiples of 6 poster

The multiples of 6 are numbers that can be divided exactly by 6, leaving no remainder.

The first few multiples of 6 are the numbers in the 6 times table.

For example 2 × 6 = 12 and so, the second multiple of six is 12.

For example 100 × 6 = 600 and so, the hundredth multiple of 6 is 600.

A number is a multiple of 6 if it can be divided by both 2 and 3.

This means that all multiples of 6 are even, ending in 0, 2, 4, 6, or 8.

A multiple of 6 is any number that can be divided by 6 exactly, leaving no remainder.

Multiples of 6 Flashcards

Click on the multiples of 6 flashcards below to memorise the 6 times table:

Supporting Lessons

Multiples of 6: Interactive Questions

Multiples of 6 Worksheets and Answers

Lattice Multiplication Method

Multiples of 6

What are Multiples of 6?

Multiples of 6 are numbers that can be divided exactly by 6. Multiples of 6 are made by multiplying a whole number by 6. For example, the tenth multiple of 6 is 60 because 10 × 6 = 60.

Multiples of 6 are made by multiplying any whole number by 6. Therefore, the first multiples of 6 are the numbers in the 6 times table.

multiples of 6 poster

The first few multiples of 6 are:

1 × 6 = 6
2 × 6 = 12
3 × 6 = 18
4 × 6 = 24
5 × 6 = 30
6 × 6 = 36
7 × 6 = 42
8 × 6 = 48
9 × 6 = 54
10 × 6 = 60
11 × 6 = 66
12 × 6 = 72

Here are the multiples of 6 shown on a number chart.

chart showing the multiples of 6

6 can be divided exactly by 2 and 3. This means that all multiples of 6 are also multiples of 2 and multiples of 3.

Multiples of 6 are always even.

What are the Multiples of 6 to 100

There are 16 multiples of 6 that are less than 100. They are:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90 and 96.

Here is a list of the first 100 multiples of 6:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 306, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414, 420, 426, 432, 438, 444, 450, 456, 462, 468, 474, 480, 496, 492, 498, 504, 510, 516, 522, 528, 534, 540, 546, 552, 558, 564, 570, 576, 582, 588, 594, 600.

How to Find Multiples of 6

To find a multiple of 6, multiply a whole number by 6. For example, 3 × 6 = 18 and so, 18 is the third multiple of 6. Alternatively, start at 0 and count up in sixes. We get 6, 12, 18, 24, 30 and so on.

The first 12 multiples of 6 are shown in the poster below.

multiples of 6 poster

To find the next multiples of 6, simply add on 6.

For example, 72 + 6= 78, 78 + 6 = 84 and 84 + 6 = 90.

Therefore 78, 84 and 90 are the thirteenth, fourteenth and fifteenth multiples of 6 respectively.

Here are the remaining multiples of 6 shown on a number grid. When teaching the multiples of 6, start at 0 and count up in sixes. A number grid can be useful for looking for patterns in the multiples and can assist with adding 6 to larger numbers

multiples of 6 chart

We can see that multiples of 6 always end in 2, 4, 6, 8 or 0. They do not end in any other number. For a number to be a multiple of 6, it must be an even number.

all multiples of 6 are even

The Rule for Recognising Multiples of 6

The rule for recognising multiples of 6 is that the number must end in 0, 2, 4, 6, or 8 and the digits must add up to make a number in the 3 times table. For example, 318 is a multiple of 6 because it ends in an 8 and the digits 3 + 1 + 8 add to make 12, which is a number in the 3 times table.

Multiples of 6 are also multiples of 2 and multiples of 3. This is because 6 can be divided exactly by 2 and by 3.

Therefore to test if a number is a multiple of 6 or not, it must also be a multiple of 2 and a multiple of 3.

Multiples of 2 are even numbers and must end in a 0, 2, 4, 6 or 8.

All multiples of 3 have digits that add up to multiples of 3.

A number must pass both of these tests if it is a multiple of 6.

For example, here is 318.

rule to test if a number is a multiple of 6 example of 318

It is a multiple of 2 because it ends in an 8. Multiples of 2 end in 0, 2, 4, 6 or 8.

It is a multiple of 3 because its digits add up to 12. 12 is in the 3 times table.

318 is a multiple of 2 and 3 and therefore, it is a multiple of 6.

If the number does not pass both of these tests, it is not a multiple of 6.

Here is another example of 564.

rule for divisibility by 6 example of 564

564 ends in a 4. 4 is an even number and so, 564 is a multiple of 2.

5 + 6 + 4 = 15, which is in the 3 times table. 564 is a multiple of 3.

564 is a multiple of 2 and a multiple of 3, therefore it is also a multiple of 6.

Now try our lesson on Lattice Multiplication Method where we learn how to use the lattice method for multiplying numbers.

lattice multiplication method

Multiples of 6: Interactive Questions

Multiples of 6: Interactive Questions Return to video lesson on Multiples of 6

Multiples of 8

multiples of 8 poster

The multiples of 8 are numbers that can be divided exactly by 8, leaving no remainder.

The first few multiples of 8 are the numbers in the 8 times table.

For example 2 × 8 = 16 and so, the second multiple of eight is 16.

For example 100 × 8 = 800 and so, the hundredth multiple of 8 is 800.

A number is a multiple of 8 if it can be halved, halved and halved again to leave a whole number.

For example, 24 is a multiple of 8 because half of 24 is 12, half of 12 is 6 and half of 6 is 3.

A multiple of 8 is any number that can be divided by 8 exactly, leaving no remainder.

Multiples of 8 Flashcards

Click on the multiples of 8 flashcards below to memorise the 8 times table:

Supporting Lessons

Multiples of 8: Interactive Questions

Multiples of 8 Worksheets and Answers

Lattice Multiplication Method

Multiples of 8

What are Multiples of 8?

Multiples of 8 are numbers that can be divided exactly by 8. Multiples of 8 are found by counting up in eights. The first few multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88 and 96.

The first few multiples of 8 are the numbers in the 8 times table. Here is a list of the first twelve multiples of 8:

multiples of 8 list

To teach the multiples of 8, place the numbers on a number grid. We can count on in eights from one number to the next. Here are the multiples of 8 shown on the chart:

chart showing the multiples of 8

To learn the multiples of 8, it can help to look for patterns in the positions of the numbers on the chart.

We can see that the multiples of 8 form diagonal patterns on the chart.

Multiples of 8 always end in 0, 2, 4, 6 and 8. Multiples of 8 are always even numbers.

patterns in the multiples of 8

To test if a number is a multiple of 8, half it three times. If the result is a whole number, the number is a multiple of 8. If the result is not a whole number, the number is not a multiple of 8.

For example, we can halve 88 three times in a row. Half of 88 is 44, half of 44 is 22 and half of 22 is 11. 11 is a whole number and so, 88 is a multiple of 8.

20 is not a multiple of 8. It cannot be halved three times to leave a whole number. For example, half of 20 is 10, half of 10 is 5 but half of 5 is 2.5. 2.5 is not a whole number and so, 20 is not a multiple of 8.

All multiples of 8 are also multiples of 4. This is because 4 divides exactly into 8.

How do you Find Multiples of 8?

To find multiples of 8, multiply any whole number by 8. For example, the tenth multiple of 8 is 80 because 10 × 8 = 80. Alternatively, multiples of 8 can be found by starting at zero and counting up in eights.

We can start at zero and count up in eights to find the multiples of 8.

0 + 8 = 8, 8 + 8 = 16, 16 + 8 = 24, 24 + 8 = 32, 32 + 8 = 40 and so on.

Here are the multiples of 8 to 100.

multiples of 8 to 100

There are infinite multiples of 8.

We can continue to add on 8 to find further multiples of 8.

96 + 8 = 104, 104 + 8 = 112 and so on.

Multiples of 8 up to 100

There are 12 multiples of 8 that are less than 100. They are:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88 and 96.

Here is a longer list of multiples of 8:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352, 360, 368, 376, 384, 392, 400.

Now try our lesson on Lattice Multiplication Method where we learn how to use the lattice method for multiplying numbers.

lattice multiplication method

Multiples of 8: Interactive Questions

Multiples of 8: Interactive Questions Return to video lesson on Multiples of 8

Multiples of 10

multiples of 10 poster

The multiples of 10 are numbers that can be divided exactly by 10, leaving no remainder.

The first few multiples of 10 are the numbers in the 10 times table.

For example 5 × 10 = 50 and so, the fifth multiple of ten is 50.

For example 100 × 10 = 1000 and so, the hundredth multiple of 10 is 1000.

All multiples of 10 have a final digit of 0.

If a number does not have a final digit of zero, it is not a multiple of 10.

A multiple of 10 is any number that can be divided by 10 exactly, leaving no remainder.

All multiples of 10 end in a 0.

Multiples of 10 Flashcards

Click on the multiples of 10 flashcards below to memorise the 10 times table:

Supporting Lessons

Multiples of 10: Interactive Questions

Multiples of 10 Worksheets and Answers

Multiples of 10

What are Multiples of 10?

Multiples of 10 are numbers that can be divided exactly by 10. They are made by multiplying any whole number by 10. A number is a multiple of 10 if its last digit is zero.

Here is a poster showing the first twelve multiples of 10:

multiples of 10 poster

Any number in the 10 times table is a multiple of 10.

1 × 10 = 10
2 × 10 = 20
3 × 10 = 30
4 × 10 = 40
5 × 10 = 50
6 × 10 = 60
7 × 10 = 70
8 × 10 = 80
9 × 10 = 90
10 × 10 = 100
11 × 10 = 110
12 × 10 = 120

So find a multiple of ten, simply multiply a whole number by 10. For example, to find the second multiple of 10, multiply 2 by 10. 2 × 10 = 20 and so, 20 is the second multiple of 10.

How to Find Multiples of 10

To find multiples of 10, multiply any whole number by 10. For example, 3 × 10 = 30 and so, the 3rd multiple of 10 is 30. Alternatively, multiples of 10 can be found by starting at zero and counting on in tens.

It is easy to multiply a whole number by 10. We simply place a 0 digit on the end of the number.

For example, the 345th multiple of 10 is simply 3450.

We can find multiples of 10 by counting up in tens from zero.

0 + 10 = 10, 10 + 10 = 20, 20 + 10 = 30 and so on.

When teaching multiples of 10, it can be useful to use a number grid. It is easy to count on in tens by moving one row down. All multiples of 10 on a number grid are found in the final column.

multiples of 10 chart

We can see that each multiple of 10 is 10 away from other multiples of 10.

If you know one multiple of 10, you can find the next multiple of 10 by adding 10.

Multiples of 10 up to 100

There are 10 multiples of 10 up to 100. They are:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

multiples of 10 up to 100

Why do All Multiples of 10 End in 0?

All multiples of 10 end in a 0 because our numbers are written in base ten. There are only digits from 0-9 and 10 is the first number that needs two digits. Every time a number is multiplied by 10, the existing digits are carried over into a new column and a 0 is placed at the end because we have no other digits to fill the spot.

Now try our lesson on Multiplying by 100 where we learn how to multiply any number by 100.

Multiplying by 100

multiplying a decimal by 100

Multiples of 10: Interactive Questions

Multiples of 10: Interactive Questions Return to video lesson on Multiples of 10

Multiples of 3

the multiples of 3

The multiples of 3 are numbers that can be divided exactly by 3, leaving no remainder.

The answers to the three times table are the first few multiples of 3.

For example 5 × 3 = 15 and so, the fifth multiple of three is 15.

For example 100 × 3 = 300 and so, the hundredth multiple of 3 is 300.

To test if a number is a multiple of 3, add its digits together. If the result is a multiple of 3, then the original number is also a multiple of 3.

For example, 54 is a multiple of 3 because 5 + 4 = 9 which is also a multiple of 3.

A multiple of 3 is any number that can be divided by 3 exactly, leaving no remainder.

The first few multiples of 3 are seen in the 3 times table.

Multiples of 3 Flashcards

Click on the multiples of 3 flashcards below to memorise the 3 times table:

Supporting Lessons

Multiples of 3: Interactive Questions

Multiples of 3 Worksheets and Answers