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The properties of numbers are things like factors or multiples. Learning the properties of numbers is all about understanding the relationships between them. For example, do you know the multiples and factors of numbers? Let's take the number 8. Its multiples are all of the numbers in the 8 times table from 0 upwards. Its factors are the numbers that can be multiplied together to make 8, which are 1, 2, 4 and 8. How much have you learned about the properties of numbers?

1.

How do we know that a number is a multiple of 4?

It ends in 2, 4 or 8

The last two digits are divisible by 4

It is also a multiple of 8

There is no way of knowing

We can ignore numbers in the 100s column as 100 is itself divisible by 4

2.

What is the square number of 6?

6

12

36

60

36 is 6 x 6

3.

Which number multiplied by itself gives 49?

3

6

5

7

Knowing your times tables will help you here

4.

How many pairs of factors will give 12?

1

3

6

12

They are 1 x 12, 2 x 6 and 3 x 4

5.

What is a factor?

A factor is a whole number that divides into another whole number

A factor is a whole number that can be divided by 6

A factor is a number that cannot be divided

A factor is the product when a number is multiplied by itself

For example, 3 and 2 are both factors of 6

6.

Which of these numbers is a multiple of 4?

5,698

2,463

4,441

2,548

We can easily work this out as 2,548 is the only number where the last 2 digits are divisible by 4

7.

Which number has the factors of 1, 2, 4, 8 and 16?

8

16

24

36

Every number is a factor of itself as it is itself multiplied by 1

8.

What is 5 squared?

5

10

15

25

5 x 5 = 25

9.

Which of these numbers is a multiple of 7?

15

22

35

37

35 is 5 x 7

10.

What is a square number?

A number that can be divided by 4

A number that is a multiple of 6 and 7

The product when a number is multiplied by itself

A number that is written in a square

For example 3 x 3 = 9 therefore 9 is the square number of 3