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Factors of 43

Every whole number that divides 43 exactly, the factor pairs, and how to find them yourself.

The answer

The factors of 43 are 1 and 43. 43 is a prime number.

Factor pairs of 43

PairMakes
1 × 4343

Prime factors of 43

Prime factorisation
43 = 43
Is 43 prime?
Yes. It is the 14th prime number.
Is 43 a square number?
No. 6 × 6 = 36 and 7 × 7 = 49, so 43 falls between two square numbers.

How to find the factors of 43

43 is prime, so the only pair you will find is 1 × 43. Work up from 1 to 6, and write down both numbers in every pair you find.

  1. 43 ÷ 1 = 43, so 1 × 43 is a pair.
  2. 2 does not go into 43 exactly.
  3. 3 does not go into 43 exactly.
  4. 4 does not go into 43 exactly.
  5. 5 does not go into 43 exactly.
  6. 6 does not go into 43 exactly.

Stop at 7: 7 × 7 = 49, which is more than 43. The next pair you would find is 43 × 1, which is 1 × 43 turned round, so you already have every pair.

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Questions parents ask

What is the largest factor of 43, apart from 43 itself?

1. 43 is prime, so apart from 43 itself its only factor is 1.

What do the factors of 43 add up to?

44. Leaving out 43 itself, they add up to 1, which is less than 43, so 43 is called a deficient number.

Which number after 43 has the same number of factors?

47. Like 43, 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.