Factors of 71
Every whole number that divides 71 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 71 are 1 and 71. 71 is a prime number.
Factor pairs of 71
| Pair | Makes |
|---|---|
| 1 × 71 | 71 |
Prime factors of 71
- Prime factorisation
- 71 = 71
- Is 71 prime?
- Yes. It is the 20th prime number.
- Is 71 a square number?
- No. 8 × 8 = 64 and 9 × 9 = 81, so 71 falls between two square numbers.
How to find the factors of 71
71 is prime, so the only pair you will find is 1 × 71. Work up from 1 to 8, and write down both numbers in every pair you find.
- 71 ÷ 1 = 71, so 1 × 71 is a pair.
- 2 does not go into 71 exactly.
- 3 does not go into 71 exactly.
- 4 does not go into 71 exactly.
- 5 does not go into 71 exactly.
- 6 does not go into 71 exactly.
- 7 does not go into 71 exactly.
- 8 does not go into 71 exactly.
Stop at 9: 9 × 9 = 81, which is more than 71. The next pair you would find is 71 × 1, which is 1 × 71 turned round, so you already have every pair.
More numbers
Check whether 71 is prime.
Questions parents ask
What is the largest factor of 71, apart from 71 itself?
1. 71 is prime, so apart from 71 itself its only factor is 1.
What do the factors of 71 add up to?
72. Leaving out 71 itself, they add up to 1, which is less than 71, so 71 is called a deficient number.
Which number after 71 has the same number of factors?
73. Like 71, 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.