Is 41 a prime number?
41 is a prime number. Here is how to check it, one division at a time.
The answer
Yes. 41 is a prime number: its only factors are 1 and 41.
How to check that 41 is prime
Try dividing 41 by the prime numbers, starting with 2. You only need primes: if 4 went into 41, then 2 would too.
- 41 ÷ 2 = 20 remainder 1, so 2 is not a factor.
- 41 ÷ 3 = 13 remainder 2, so 3 is not a factor.
- 41 ÷ 5 = 8 remainder 1, so 5 is not a factor.
Stop at 7: 7 × 7 = 49, which is more than 41. Any factor bigger than that would need a partner smaller than 7, and you have already tried those. So 41 is prime.
Where 41 comes among the primes
41 is the 13th prime number. The prime just before it is 37.
There are 25 prime numbers up to 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97.
Around 41
- 41 is not in any times table from 2 to 12. The answers either side of it are 40 (4 × 10, 5 × 8, 8 × 5 and 10 × 4) and 42 (6 × 7 and 7 × 6).
- The nearest square number is 36 (6 × 6), 5 below it.
- Two prime numbers with a difference of 4 are called cousin primes. 41 has one cousin prime: 37.
41 at a glance
Optional extra number facts:
- In words
- forty-one
- In Roman numerals
- XLI
- Odd or even
- Odd: it ends in 1
- Its factors add up to
- 42, or 1 without 41 itself. 41 is deficient: Deficient means this sum is less than the number.
Related pages
More numbers
Questions parents ask
Is 41 one of a pair of twin primes?
Yes. Twin primes are two primes 2 apart, and 41 pairs with 43.
What is the next prime number after 41?
43, which is 2 more than 41. Every number in between has a factor other than 1 and itself.
What is 41 × 41?
41 × 41 = 1681. The square of a prime has exactly three factors: 1, 41 and 1681.
Continue your number practice
Explore the diagnostic for another set of practice questions.