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Is 507 a prime number?

No, 507 is not a prime number. It is divisible by 3: 507 = 3 × 169.

Is 507 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 √507 ≈ 22.52. If none of them divides 507, it is prime.

  3. 3

    3 divides 507 exactly, so it is not prime. Its prime factorisation is

    507=3×132507 = 3 \times 13^{2}
LaTeX source of the formulas on this page
\[ 507 = 3 \times 13^{2} \]

Testing 507 by the primes up to its square root

PrimeDivisionResult
2507 ÷ 2leaves 1
3507 ÷ 3divides exactly (169)
5507 ÷ 5leaves 2
7507 ÷ 7leaves 3
11507 ÷ 11leaves 1
13507 ÷ 13divides exactly (39)
17507 ÷ 17leaves 14
19507 ÷ 19leaves 13

Questions

Is 507 a prime number?

No, 507 is not a prime number. It is divisible by 3: 507 = 3 × 169.

What is the next prime after 507?

509.

What is the prime number before 507?

503.

What are the factors of 507?

1, 3, 13, 39, 169, 507.

Nearby numbers

More about 507

    Is 507 a prime number? No, with proof | WordGPT