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Is 492 a prime number?

No, 492 is not a prime number. It is divisible by 2: 492 = 2 × 246.

Is 492 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 √492 ≈ 22.18. If none of them divides 492, it is prime.

  3. 3

    2 divides 492 exactly, so it is not prime. Its prime factorisation is

    492=22×3×41492 = 2^{2} \times 3 \times 41
LaTeX source of the formulas on this page
\[ 492 = 2^{2} \times 3 \times 41 \]

Testing 492 by the primes up to its square root

PrimeDivisionResult
2492 ÷ 2divides exactly (246)
3492 ÷ 3divides exactly (164)
5492 ÷ 5leaves 2
7492 ÷ 7leaves 2
11492 ÷ 11leaves 8
13492 ÷ 13leaves 11
17492 ÷ 17leaves 16
19492 ÷ 19leaves 17

Questions

Is 492 a prime number?

No, 492 is not a prime number. It is divisible by 2: 492 = 2 × 246.

What is the next prime after 492?

499.

What is the prime number before 492?

491.

What are the factors of 492?

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492.

Nearby numbers

More about 492

    Is 492 a prime number? No, with proof | WordGPT