Math Background
cancel Not a Prime Number

Is 897 Prime?

No, 897 is a composite number.

Divisible By 3, 13, 23...
Prime Factorization 3 × 13 × 23

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Why is 897 Composite?

A prime number has exactly two distinct positive divisors: 1 and itself. To prove 897 is composite, we just need to find one other number that divides it evenly.

lightbulb Quick Check: Divisibility Rule for 3

Add the digits of 897: 8 + 9 + 7 = 24.
Since 24 is divisible by 3 (3 × 8 = 24), the entire number 897 must be divisible by 3.

  • Step 1: We found 3 is a factor. Divide 897 by 3: 897 ÷ 3 = 299.
  • Step 2: Is 299 prime? Let's check odd primes. It doesn't end in 5. Try 7, 11... try 13.
    299 ÷ 13 = 23.
  • Step 3: 23 is a known prime number.
  • Conclusion: The prime factors are 3, 13, and 23.