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Is 167 a prime number?

Yes, 167 is a prime number. Its only factors are 1 and 167.

Is 167 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 √167 ≈ 12.92. If none of them divides 167, it is prime.

  3. 3

    None of them divides 167, so it is prime.

Testing 167 by the primes up to its square root

PrimeDivisionResult
2167 ÷ 2leaves 1
3167 ÷ 3leaves 2
5167 ÷ 5leaves 2
7167 ÷ 7leaves 6
11167 ÷ 11leaves 2

Questions

Is 167 a prime number?

Yes, 167 is a prime number. Its only factors are 1 and 167.

What is the next prime after 167?

173.

What is the prime number before 167?

163.

What are the factors of 167?

1, 167.

Nearby numbers

More about 167

    Is 167 a prime number? Yes, with proof | WordGPT