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Is 882 a prime number?

No, 882 is not a prime number. It is divisible by 2: 882 = 2 × 441.

Is 882 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 √882 ≈ 29.70. If none of them divides 882, it is prime.

  3. 3

    2 divides 882 exactly, so it is not prime. Its prime factorisation is

    882=2×32×72882 = 2 \times 3^{2} \times 7^{2}
LaTeX source of the formulas on this page
\[ 882 = 2 \times 3^{2} \times 7^{2} \]

Testing 882 by the primes up to its square root

PrimeDivisionResult
2882 ÷ 2divides exactly (441)
3882 ÷ 3divides exactly (294)
5882 ÷ 5leaves 2
7882 ÷ 7divides exactly (126)
11882 ÷ 11leaves 2
13882 ÷ 13leaves 11
17882 ÷ 17leaves 15
19882 ÷ 19leaves 8
23882 ÷ 23leaves 8
29882 ÷ 29leaves 12

Questions

Is 882 a prime number?

No, 882 is not a prime number. It is divisible by 2: 882 = 2 × 441.

What is the next prime after 882?

883.

What is the prime number before 882?

881.

What are the factors of 882?

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882.

Nearby numbers

More about 882

    Is 882 a prime number? No, with proof | WordGPT