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Is 625 a prime number?

No, 625 is not a prime number. It is divisible by 5: 625 = 5 × 125.

Is 625 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 √625 ≈ 25.00. If none of them divides 625, it is prime.

  3. 3

    5 divides 625 exactly, so it is not prime. Its prime factorisation is

    625=54625 = 5^{4}
LaTeX source of the formulas on this page
\[ 625 = 5^{4} \]

Testing 625 by the primes up to its square root

PrimeDivisionResult
2625 ÷ 2leaves 1
3625 ÷ 3leaves 1
5625 ÷ 5divides exactly (125)
7625 ÷ 7leaves 2
11625 ÷ 11leaves 9
13625 ÷ 13leaves 1
17625 ÷ 17leaves 13
19625 ÷ 19leaves 17
23625 ÷ 23leaves 4

Questions

Is 625 a prime number?

No, 625 is not a prime number. It is divisible by 5: 625 = 5 × 125.

What is the next prime after 625?

631.

What is the prime number before 625?

619.

What are the factors of 625?

1, 5, 25, 125, 625.

Nearby numbers

More about 625

    Is 625 a prime number? No, with proof | WordGPT