Prime numbers

Part ofMathsFactors, multiples and primesYear 6

What is a prime number?

A child with a confused face with the numbers 2,5, 7 and 11 around her head.

A prime number is a whole number, greater than 1, that only has two factors.

A factor is a number that divides another number evenly, with no remainder or decimal.

The factors of a prime number are the number itself and 1.

19 is a prime number. It can only be divided by 1 and 19 without any remainders. The only factors of 19 are 1 and 19.

A number that has more than two factors is called a composite number.

The number 1 is not a prime number as it only has one factor.

A child with a confused face with the numbers 2,5, 7 and 11 around her head.
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Activity: What is a prime number?

Complete this interactive activity to find out about prime numbers. Then put your knowledge to the test.

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Prime numbers under 20

Prime numbers are numbers that have only two factors: 1 and themselves.

Here are all the prime numbers up to 19:

2, 3, 5, 7, 11, 13, 17, 19

Remember, 2 is the only even prime number, and 1 is not a prime number.

A number line between 0 and 20 increasing in increments of 1. The numbers 2, 3, 5, 7, 11, 13, 17 and 19 are highlighted.
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Working out if a number is a prime number

Ask these questions to work out if a number is prime:

1. Is it greater than 1?

If the answer is 'yes'. Then it could be a prime number.

2. Is it a whole number?

If the answer is 'yes'. It still could be a prime number.

3. Is it an odd number?

If the answer is 'yes'. It still might be a prime number. However, remember the number 2 is the only even prime number.

4. Is it a multiple of 5 or 10?

If the answer is 'no'. It could be a prime number.

5. Does it have any factors other than 1 or itself?

Use your multiplication facts and division skills to find out.

If the answer to this question is 'no', then it is a prime number!.

You can use a multiplication grid to help you.

A multiplication grid. There are 110 squares. The squares on the top heading row contain in this order: ×, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The squares in the first heading column from top to bottom contain in this order: ×, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The numbers in each of the remaining squares are the products of the numbers contained in their matching heading columns.
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Example 1

A boy writing the numbers 95, 41 and 57 on a chalk board.

Which number in the following list is a prime number?

98, 57, 41

How do you know that the other two numbers are not prime?

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Example 2

A girl thinking beside a thought bubble. In it is the phrase 'do you know?'
  • What is a prime factor?

  • What is a composite factor?

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Example 3

56 and 42.

What are the common prime factors of 42 and 56?

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Play our fun maths game Guardians: Defenders of Mathematica. game

Use your times tables and more maths skills to defeat monsters and reclaim the Kingdom of Mathematica

Play our fun maths game Guardians: Defenders of Mathematica
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More on Factors, multiples and primes

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