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Is 200 a prime number?

No, 200 is not a prime number. It is divisible by 2: 200 = 2 × 100.

Is 200 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 √200 ≈ 14.14. If none of them divides 200, it is prime.

  3. 3

    2 divides 200 exactly, so it is not prime. Its prime factorisation is

    200=23×52200 = 2^{3} \times 5^{2}
LaTeX source of the formulas on this page
\[ 200 = 2^{3} \times 5^{2} \]

Testing 200 by the primes up to its square root

PrimeDivisionResult
2200 ÷ 2divides exactly (100)
3200 ÷ 3leaves 2
5200 ÷ 5divides exactly (40)
7200 ÷ 7leaves 4
11200 ÷ 11leaves 2
13200 ÷ 13leaves 5

Questions

Is 200 a prime number?

No, 200 is not a prime number. It is divisible by 2: 200 = 2 × 100.

What is the next prime after 200?

211.

What is the prime number before 200?

199.

What are the factors of 200?

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200.

Nearby numbers

More about 200

    Is 200 a prime number? No, with proof | WordGPT