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Is 54 a prime number?

No, 54 is not a prime number. It is divisible by 2: 54 = 2 × 27.

Is 54 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 √54 ≈ 7.35. If none of them divides 54, it is prime.

  3. 3

    2 divides 54 exactly, so it is not prime. Its prime factorisation is

    54=2×3354 = 2 \times 3^{3}
LaTeX source of the formulas on this page
\[ 54 = 2 \times 3^{3} \]

Testing 54 by the primes up to its square root

PrimeDivisionResult
254 ÷ 2divides exactly (27)
354 ÷ 3divides exactly (18)
554 ÷ 5leaves 4
754 ÷ 7leaves 5

Questions

Is 54 a prime number?

No, 54 is not a prime number. It is divisible by 2: 54 = 2 × 27.

What is the next prime after 54?

59.

What is the prime number before 54?

53.

What are the factors of 54?

1, 2, 3, 6, 9, 18, 27, 54.

Nearby numbers

More about 54

    Is 54 a prime number? No, with proof | WordGPT