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Is 52 a prime number?

No, 52 is not a prime number. It is divisible by 2: 52 = 2 × 26.

Is 52 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 √52 ≈ 7.21. If none of them divides 52, it is prime.

  3. 3

    2 divides 52 exactly, so it is not prime. Its prime factorisation is

    52=22×1352 = 2^{2} \times 13
LaTeX source of the formulas on this page
\[ 52 = 2^{2} \times 13 \]

Testing 52 by the primes up to its square root

PrimeDivisionResult
252 ÷ 2divides exactly (26)
352 ÷ 3leaves 1
552 ÷ 5leaves 2
752 ÷ 7leaves 3

Questions

Is 52 a prime number?

No, 52 is not a prime number. It is divisible by 2: 52 = 2 × 26.

What is the next prime after 52?

53.

What is the prime number before 52?

47.

What are the factors of 52?

1, 2, 4, 13, 26, 52.

Nearby numbers

More about 52

    Is 52 a prime number? No, with proof | WordGPT