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Is 216 a prime number?

No, 216 is not a prime number. It is divisible by 2: 216 = 2 × 108.

Is 216 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 √216 ≈ 14.70. If none of them divides 216, it is prime.

  3. 3

    2 divides 216 exactly, so it is not prime. Its prime factorisation is

    216=23×33216 = 2^{3} \times 3^{3}
LaTeX source of the formulas on this page
\[ 216 = 2^{3} \times 3^{3} \]

Testing 216 by the primes up to its square root

PrimeDivisionResult
2216 ÷ 2divides exactly (108)
3216 ÷ 3divides exactly (72)
5216 ÷ 5leaves 1
7216 ÷ 7leaves 6
11216 ÷ 11leaves 7
13216 ÷ 13leaves 8

Questions

Is 216 a prime number?

No, 216 is not a prime number. It is divisible by 2: 216 = 2 × 108.

What is the next prime after 216?

223.

What is the prime number before 216?

211.

What are the factors of 216?

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216.

Nearby numbers

More about 216

    Is 216 a prime number? No, with proof | WordGPT