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Factors of 2

Every whole number that divides 2 exactly, the factor pairs, and how to find them yourself.

The answer

The factors of 2 are 1 and 2. 2 is a prime number.

Factor pairs of 2

PairMakes
1 × 22

Prime factors of 2

Prime factorisation
2 = 2
Is 2 prime?
Yes. It is the 1st prime number.
Is 2 a square number?
No. 1 × 1 = 1 and 2 × 2 = 4, so 2 falls between two square numbers.

How to find the factors of 2

2 is prime, so the only pair you will find is 1 × 2. Only 1 needs trying, because 2 × 2 = 4 is already more than 2.

  1. 2 ÷ 1 = 2, so 1 × 2 is a pair.

Stop at 2: 2 × 2 = 4, which is more than 2. The next pair you would find is 2 × 1, which is 1 × 2 turned round, so you already have every pair.

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Questions parents ask

What is the largest factor of 2, apart from 2 itself?

1. 2 is prime, so apart from 2 itself its only factor is 1.

What do the factors of 2 add up to?

3. Leaving out 2 itself, they add up to 1, which is less than 2, so 2 is called a deficient number.

Which number after 2 has the same number of factors?

3. Like 2, it has exactly 2 factors.

Number facts are the base of 11+ maths

Factors, multiples, primes and square numbers come up all over 11+ maths, from simplifying fractions to ratio. The free diagnostic checks maths, English and both kinds of reasoning, and shows what to practise next. No card is required.