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Is 245 a prime number?

No, 245 is not a prime number. It is divisible by 5: 245 = 5 × 49.

Is 245 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 √245 ≈ 15.65. If none of them divides 245, it is prime.

  3. 3

    5 divides 245 exactly, so it is not prime. Its prime factorisation is

    245=5×72245 = 5 \times 7^{2}
LaTeX source of the formulas on this page
\[ 245 = 5 \times 7^{2} \]

Testing 245 by the primes up to its square root

PrimeDivisionResult
2245 ÷ 2leaves 1
3245 ÷ 3leaves 2
5245 ÷ 5divides exactly (49)
7245 ÷ 7divides exactly (35)
11245 ÷ 11leaves 3
13245 ÷ 13leaves 11

Questions

Is 245 a prime number?

No, 245 is not a prime number. It is divisible by 5: 245 = 5 × 49.

What is the next prime after 245?

251.

What is the prime number before 245?

241.

What are the factors of 245?

1, 5, 7, 35, 49, 245.

Nearby numbers

More about 245

    Is 245 a prime number? No, with proof | WordGPT