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Is 31 a prime number?

Yes, 31 is a prime number. Its only factors are 1 and 31.

Is 31 prime?

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    A prime number has exactly two factors: 1 and itself.

  2. 2

    It is enough to test the primes up to √31 ≈ 5.57. If none of them divides 31, it is prime.

  3. 3

    None of them divides 31, so it is prime.

Testing 31 by the primes up to its square root

PrimeDivisionResult
231 ÷ 2leaves 1
331 ÷ 3leaves 1
531 ÷ 5leaves 1

Questions

Is 31 a prime number?

Yes, 31 is a prime number. Its only factors are 1 and 31.

What is the next prime after 31?

37.

What is the prime number before 31?

29.

What are the factors of 31?

1, 31.

Nearby numbers

More about 31

    Is 31 a prime number? Yes, with proof | WordGPT