Is 97 a Prime Number?
Yes, 97 is prime. Its only factors are 1 and 97, so its prime factorization is just 97. There is nothing smaller to split it into.
The Square Root Test
You do not need to test every number below 97. You only test the primes up to the square root. Here √97 is about 9.8, so the primes to test are 2, 3, 5, 7.
- 97 ÷ 2 = 48 remainder 1
- 97 ÷ 3 = 32 remainder 1
- 97 ÷ 5 = 19 remainder 2
- 97 ÷ 7 = 13 remainder 6
None of them divides 97 exactly, so 97 is prime.
What This Means for the Factorization
A prime is already as broken down as it can get. Its prime factorization is 97 = 97, and it has exactly two factors: 1 and 97.
Try another number in the Prime Factorization Calculator.