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Is 336 a prime number?

No, 336 is not a prime number. It is divisible by 2: 336 = 2 × 168.

Is 336 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 √336 ≈ 18.33. If none of them divides 336, it is prime.

  3. 3

    2 divides 336 exactly, so it is not prime. Its prime factorisation is

    336=24×3×7336 = 2^{4} \times 3 \times 7
LaTeX source of the formulas on this page
\[ 336 = 2^{4} \times 3 \times 7 \]

Testing 336 by the primes up to its square root

PrimeDivisionResult
2336 ÷ 2divides exactly (168)
3336 ÷ 3divides exactly (112)
5336 ÷ 5leaves 1
7336 ÷ 7divides exactly (48)
11336 ÷ 11leaves 6
13336 ÷ 13leaves 11
17336 ÷ 17leaves 13

Questions

Is 336 a prime number?

No, 336 is not a prime number. It is divisible by 2: 336 = 2 × 168.

What is the next prime after 336?

337.

What is the prime number before 336?

331.

What are the factors of 336?

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336.

Nearby numbers

More about 336

    Is 336 a prime number? No, with proof | WordGPT