Factors of 7
Every whole number that divides 7 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 7 are 1 and 7. 7 is a prime number.
Factor pairs of 7
| Pair | Makes |
|---|---|
| 1 × 7 | 7 |
Prime factors of 7
- Prime factorisation
- 7 = 7
- Is 7 prime?
- Yes. It is the 4th prime number.
- Is 7 a square number?
- No. 2 × 2 = 4 and 3 × 3 = 9, so 7 falls between two square numbers.
How to find the factors of 7
7 is prime, so the only pair you will find is 1 × 7. Work up from 1 to 2, and write down both numbers in every pair you find.
- 7 ÷ 1 = 7, so 1 × 7 is a pair.
- 2 does not go into 7 exactly.
Stop at 3: 3 × 3 = 9, which is more than 7. The next pair you would find is 7 × 1, which is 1 × 7 turned round, so you already have every pair.
More numbers
Check whether 7 is prime.
Questions parents ask
What is the largest factor of 7, apart from 7 itself?
1. 7 is prime, so apart from 7 itself its only factor is 1.
What do the factors of 7 add up to?
8. Leaving out 7 itself, they add up to 1, which is less than 7, so 7 is called a deficient number.
Which number after 7 has the same number of factors?
11. Like 7, 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.