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Is 567 a prime number?

No, 567 is not a prime number. It is divisible by 3: 567 = 3 × 189.

Is 567 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 √567 ≈ 23.81. If none of them divides 567, it is prime.

  3. 3

    3 divides 567 exactly, so it is not prime. Its prime factorisation is

    567=34×7567 = 3^{4} \times 7
LaTeX source of the formulas on this page
\[ 567 = 3^{4} \times 7 \]

Testing 567 by the primes up to its square root

PrimeDivisionResult
2567 ÷ 2leaves 1
3567 ÷ 3divides exactly (189)
5567 ÷ 5leaves 2
7567 ÷ 7divides exactly (81)
11567 ÷ 11leaves 6
13567 ÷ 13leaves 8
17567 ÷ 17leaves 6
19567 ÷ 19leaves 16
23567 ÷ 23leaves 15

Questions

Is 567 a prime number?

No, 567 is not a prime number. It is divisible by 3: 567 = 3 × 189.

What is the next prime after 567?

569.

What is the prime number before 567?

563.

What are the factors of 567?

1, 3, 7, 9, 21, 27, 63, 81, 189, 567.

Nearby numbers

More about 567

    Is 567 a prime number? No, with proof | WordGPT