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Is 250 a prime number?

No, 250 is not a prime number. It is divisible by 2: 250 = 2 × 125.

Is 250 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 √250 ≈ 15.81. If none of them divides 250, it is prime.

  3. 3

    2 divides 250 exactly, so it is not prime. Its prime factorisation is

    250=2×53250 = 2 \times 5^{3}
LaTeX source of the formulas on this page
\[ 250 = 2 \times 5^{3} \]

Testing 250 by the primes up to its square root

PrimeDivisionResult
2250 ÷ 2divides exactly (125)
3250 ÷ 3leaves 1
5250 ÷ 5divides exactly (50)
7250 ÷ 7leaves 5
11250 ÷ 11leaves 8
13250 ÷ 13leaves 3

Questions

Is 250 a prime number?

No, 250 is not a prime number. It is divisible by 2: 250 = 2 × 125.

What is the next prime after 250?

251.

What is the prime number before 250?

241.

What are the factors of 250?

1, 2, 5, 10, 25, 50, 125, 250.

Nearby numbers

More about 250

    Is 250 a prime number? No, with proof | WordGPT