Factors of 31
There are 2 factors of 31 — the full list is below, with factor pairs, prime factorization, and divisibility notes.
Factors of 31
1, 31
Factor pairs of 31
- 1 × 31
Prime factorization of 31
31 = 31
Number facts
- 31 is a prime number.
- 31 has 2 factors.
- 31 is not a perfect square.
- The sum of all factors of 31 is 32.
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How the factors of 31 are calculated
To find the factors of 31, every whole number from 1 up to the square root of 31(about 5.57) is tested for even division. 31 is odd, and it turns out to be prime — no whole number other than 1 and 31 itself divides it evenly. Written as a product of primes, 31 = 31.
Frequently asked questions about 31
How many factors does 31 have?
31 has 2 factors: 1, 31.
Is 31 a prime number?
Yes. 31 is prime because its only factors are 1 and 31 itself.
What are the factor pairs of 31?
The factor pairs of 31 are 1 × 31.
What is the prime factorization of 31?
The prime factorization of 31 is 31.