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Is 804 a prime number?

No, 804 is not a prime number. It is divisible by 2: 804 = 2 × 402.

Is 804 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 √804 ≈ 28.35. If none of them divides 804, it is prime.

  3. 3

    2 divides 804 exactly, so it is not prime. Its prime factorisation is

    804=22×3×67804 = 2^{2} \times 3 \times 67
LaTeX source of the formulas on this page
\[ 804 = 2^{2} \times 3 \times 67 \]

Testing 804 by the primes up to its square root

PrimeDivisionResult
2804 ÷ 2divides exactly (402)
3804 ÷ 3divides exactly (268)
5804 ÷ 5leaves 4
7804 ÷ 7leaves 6
11804 ÷ 11leaves 1
13804 ÷ 13leaves 11
17804 ÷ 17leaves 5
19804 ÷ 19leaves 6
23804 ÷ 23leaves 22

Questions

Is 804 a prime number?

No, 804 is not a prime number. It is divisible by 2: 804 = 2 × 402.

What is the next prime after 804?

809.

What is the prime number before 804?

797.

What are the factors of 804?

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804.

Nearby numbers

More about 804

    Is 804 a prime number? No, with proof | WordGPT