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Is 800 a prime number?

No, 800 is not a prime number. It is divisible by 2: 800 = 2 × 400.

Is 800 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 √800 ≈ 28.28. If none of them divides 800, it is prime.

  3. 3

    2 divides 800 exactly, so it is not prime. Its prime factorisation is

    800=25×52800 = 2^{5} \times 5^{2}
LaTeX source of the formulas on this page
\[ 800 = 2^{5} \times 5^{2} \]

Testing 800 by the primes up to its square root

PrimeDivisionResult
2800 ÷ 2divides exactly (400)
3800 ÷ 3leaves 2
5800 ÷ 5divides exactly (160)
7800 ÷ 7leaves 2
11800 ÷ 11leaves 8
13800 ÷ 13leaves 7
17800 ÷ 17leaves 1
19800 ÷ 19leaves 2
23800 ÷ 23leaves 18

Questions

Is 800 a prime number?

No, 800 is not a prime number. It is divisible by 2: 800 = 2 × 400.

What is the next prime after 800?

809.

What is the prime number before 800?

797.

What are the factors of 800?

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800.

Nearby numbers

More about 800

    Is 800 a prime number? No, with proof | WordGPT