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Is 173 a prime number?

Yes, 173 is a prime number. Its only factors are 1 and 173.

Is 173 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 √173 ≈ 13.15. If none of them divides 173, it is prime.

  3. 3

    None of them divides 173, so it is prime.

Testing 173 by the primes up to its square root

PrimeDivisionResult
2173 ÷ 2leaves 1
3173 ÷ 3leaves 2
5173 ÷ 5leaves 3
7173 ÷ 7leaves 5
11173 ÷ 11leaves 8
13173 ÷ 13leaves 4

Questions

Is 173 a prime number?

Yes, 173 is a prime number. Its only factors are 1 and 173.

What is the next prime after 173?

179.

What is the prime number before 173?

167.

What are the factors of 173?

1, 173.

Nearby numbers

More about 173

    Is 173 a prime number? Yes, with proof | WordGPT