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Properties of Numbers (Year 5)
If you multiply 5 by itself, you get 25.

Properties of Numbers (Year 5)

In Year 5 Maths, pupils explore the properties of numbers, learning about factors, multiples, and prime numbers that make up the building blocks of mathematics.

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Fascinating Fact:

Prime numbers secretly guard our passwords and bank accounts, computers use them to encrypt data securely.

In KS2 Maths, Year 5 pupils investigate properties of numbers, including even and odd numbers, factors, multiples, and prime numbers. These concepts help explain how numbers interact and why some divide neatly while others don’t.

  • Factor: A number that divides another exactly with no remainder.
  • Multiple: The result of multiplying a number by an integer.
  • Prime Number: A number greater than 1 that can only be divided by 1 and itself.
What are the properties of numbers in Year 5 Maths?

In Year 5, pupils learn about number properties such as factors, multiples, and prime numbers, helping them understand how numbers relate and work together.

What is the difference between a factor and a multiple?

A factor divides a number exactly, while a multiple is what you get when you multiply a number by an integer, like 3 × 4 = 12, where 3 is a factor and 12 is a multiple.

Why are prime numbers important in real life?

Prime numbers are used in computer security to protect data and encrypt information, forming the backbone of digital safety systems.

1 .
Which of these numbers is a multiple of 7?
15
22
35
37
35 is 5 x 7
2 .
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
3 .
How many pairs of factors will give 12?
1
3
6
12
They are 1 x 12, 2 x 6 and 3 x 4
4 .
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
5 .
Which number multiplied by itself gives 49?
3
6
5
7
Knowing your times tables will help you here
6 .
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
7 .
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
8 .
What is 5 squared?
5
10
15
25
5 x 5 = 25
9 .
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
10 .
What is the square number of 6?
6
12
36
60
36 is 6 x 6
You can find more about this topic by visiting BBC Bitesize - Factors, multiples and primes

Author:  Amanda Swift (Primary School Teacher & Educational Content Developer)

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