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Factors of 41

Every whole number that divides 41 exactly, the factor pairs, and how to find them yourself.

The answer

The factors of 41 are 1 and 41. 41 is a prime number.

Factor pairs of 41

PairMakes
1 × 4141

Prime factors of 41

Prime factorisation
41 = 41
Is 41 prime?
Yes. It is the 13th prime number.
Is 41 a square number?
No. 6 × 6 = 36 and 7 × 7 = 49, so 41 falls between two square numbers.

How to find the factors of 41

41 is prime, so the only pair you will find is 1 × 41. Work up from 1 to 6, and write down both numbers in every pair you find.

  1. 41 ÷ 1 = 41, so 1 × 41 is a pair.
  2. 2 does not go into 41 exactly.
  3. 3 does not go into 41 exactly.
  4. 4 does not go into 41 exactly.
  5. 5 does not go into 41 exactly.
  6. 6 does not go into 41 exactly.

Stop at 7: 7 × 7 = 49, which is more than 41. The next pair you would find is 41 × 1, which is 1 × 41 turned round, so you already have every pair.

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Questions parents ask

What is the largest factor of 41, apart from 41 itself?

1. 41 is prime, so apart from 41 itself its only factor is 1.

What do the factors of 41 add up to?

42. Leaving out 41 itself, they add up to 1, which is less than 41, so 41 is called a deficient number.

Which number after 41 has the same number of factors?

43. Like 41, 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.