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Is 423 a prime number?

No, 423 is not a prime number. It is divisible by 3: 423 = 3 × 141.

Is 423 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 √423 ≈ 20.57. If none of them divides 423, it is prime.

  3. 3

    3 divides 423 exactly, so it is not prime. Its prime factorisation is

    423=32×47423 = 3^{2} \times 47
LaTeX source of the formulas on this page
\[ 423 = 3^{2} \times 47 \]

Testing 423 by the primes up to its square root

PrimeDivisionResult
2423 ÷ 2leaves 1
3423 ÷ 3divides exactly (141)
5423 ÷ 5leaves 3
7423 ÷ 7leaves 3
11423 ÷ 11leaves 5
13423 ÷ 13leaves 7
17423 ÷ 17leaves 15
19423 ÷ 19leaves 5

Questions

Is 423 a prime number?

No, 423 is not a prime number. It is divisible by 3: 423 = 3 × 141.

What is the next prime after 423?

431.

What is the prime number before 423?

421.

What are the factors of 423?

1, 3, 9, 47, 141, 423.

Nearby numbers

More about 423

    Is 423 a prime number? No, with proof | WordGPT