Factors and Multiples

Question 1

What are factors?

Answer 1

Numbers that can go into other numbers with no remainder.

Question 2

How do we work out the factors of a number?

Answer 2

e.g.Factors of 24:
Step 1: What numbers can be multiplied by eachother to get to 24?
1x24
2x12
3x8
4x6
(The next number would be 6x4, so we stop here.)

Step 2: Write down the numbers in order from smalles to largest.

1,2,3,4,6,8,12,24.

NB: A number will always have the factors 1 and itself.

Question 3

What are the factors of 56?

Answer 3

1x56
2x28
4x14
7x8

1,2,4,7,8,14,28,56.

Question 4

What are multiples?

Answer 4

Multiples of 7: 7, 14, 21, 28, 35,42, 49…

Question 5

Name 7 multiples of 4.

Answer 5

4,8,12,16,20,24,28.

Question 6

Name 7 multiples of 3.

Answer 6

3, 6, 9, 12, 15, 18, 21.

Question 7

Name the Highest Common Factor (HCF) of 12 and 30.

Answer 7

Factrs of 12: 1,2, 3, 4, 6, 12.
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30.
=6

Question 8

Name the Highest Common Factor (HCF) of 3 and 9

Answer 8

Factors of 3: 1,3
Factors of nine: 1, 3, 9.
=3

Question 9

List the lowest common multiple of 3 and 4

Answer 9

12

Question 10

List the lowest common multiple of 2 and 5

Answer 10

10

Question 11

List the lowest common multiple of 2 and 6

Answer 11

6

Question 12

List the lowest common multiple of 3 and 5

Answer 12

15

Question 13

List the lowest common multiple of 4 and 10

Answer 13

20