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Factors of 47

Every whole number that divides 47 exactly, the factor pairs, and how to find them yourself.

The answer

The factors of 47 are 1 and 47. 47 is a prime number.

Factor pairs of 47

PairMakes
1 × 4747

Prime factors of 47

Prime factorisation
47 = 47
Is 47 prime?
Yes. It is the 15th prime number.
Is 47 a square number?
No. 6 × 6 = 36 and 7 × 7 = 49, so 47 falls between two square numbers.

How to find the factors of 47

47 is prime, so the only pair you will find is 1 × 47. Work up from 1 to 6, and write down both numbers in every pair you find.

  1. 47 ÷ 1 = 47, so 1 × 47 is a pair.
  2. 2 does not go into 47 exactly.
  3. 3 does not go into 47 exactly.
  4. 4 does not go into 47 exactly.
  5. 5 does not go into 47 exactly.
  6. 6 does not go into 47 exactly.

Stop at 7: 7 × 7 = 49, which is more than 47. The next pair you would find is 47 × 1, which is 1 × 47 turned round, so you already have every pair.

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Questions parents ask

What is the largest factor of 47, apart from 47 itself?

1. 47 is prime, so apart from 47 itself its only factor is 1.

What do the factors of 47 add up to?

48. Leaving out 47 itself, they add up to 1, which is less than 47, so 47 is called a deficient number.

Which number after 47 has the same number of factors?

53. Like 47, 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.