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Is 500 a prime number?

No, 500 is not a prime number. It is divisible by 2: 500 = 2 × 250.

Is 500 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 √500 ≈ 22.36. If none of them divides 500, it is prime.

  3. 3

    2 divides 500 exactly, so it is not prime. Its prime factorisation is

    500=22×53500 = 2^{2} \times 5^{3}
LaTeX source of the formulas on this page
\[ 500 = 2^{2} \times 5^{3} \]

Testing 500 by the primes up to its square root

PrimeDivisionResult
2500 ÷ 2divides exactly (250)
3500 ÷ 3leaves 2
5500 ÷ 5divides exactly (100)
7500 ÷ 7leaves 3
11500 ÷ 11leaves 5
13500 ÷ 13leaves 6
17500 ÷ 17leaves 7
19500 ÷ 19leaves 6

Questions

Is 500 a prime number?

No, 500 is not a prime number. It is divisible by 2: 500 = 2 × 250.

What is the next prime after 500?

503.

What is the prime number before 500?

499.

What are the factors of 500?

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500.

Nearby numbers

More about 500

    Is 500 a prime number? No, with proof | WordGPT