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Is 428 a prime number?

No, 428 is not a prime number. It is divisible by 2: 428 = 2 × 214.

Is 428 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 √428 ≈ 20.69. If none of them divides 428, it is prime.

  3. 3

    2 divides 428 exactly, so it is not prime. Its prime factorisation is

    428=22×107428 = 2^{2} \times 107
LaTeX source of the formulas on this page
\[ 428 = 2^{2} \times 107 \]

Testing 428 by the primes up to its square root

PrimeDivisionResult
2428 ÷ 2divides exactly (214)
3428 ÷ 3leaves 2
5428 ÷ 5leaves 3
7428 ÷ 7leaves 1
11428 ÷ 11leaves 10
13428 ÷ 13leaves 12
17428 ÷ 17leaves 3
19428 ÷ 19leaves 10

Questions

Is 428 a prime number?

No, 428 is not a prime number. It is divisible by 2: 428 = 2 × 214.

What is the next prime after 428?

431.

What is the prime number before 428?

421.

What are the factors of 428?

1, 2, 4, 107, 214, 428.

Nearby numbers

More about 428

    Is 428 a prime number? No, with proof | WordGPT