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Is 213 a prime number?

No, 213 is not a prime number. It is divisible by 3: 213 = 3 × 71.

Is 213 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 √213 ≈ 14.59. If none of them divides 213, it is prime.

  3. 3

    3 divides 213 exactly, so it is not prime. Its prime factorisation is

    213=3×71213 = 3 \times 71
LaTeX source of the formulas on this page
\[ 213 = 3 \times 71 \]

Testing 213 by the primes up to its square root

PrimeDivisionResult
2213 ÷ 2leaves 1
3213 ÷ 3divides exactly (71)
5213 ÷ 5leaves 3
7213 ÷ 7leaves 3
11213 ÷ 11leaves 4
13213 ÷ 13leaves 5

Questions

Is 213 a prime number?

No, 213 is not a prime number. It is divisible by 3: 213 = 3 × 71.

What is the next prime after 213?

223.

What is the prime number before 213?

211.

What are the factors of 213?

1, 3, 71, 213.

Nearby numbers

More about 213

    Is 213 a prime number? No, with proof | WordGPT