Factors of 97
The factors of 97 are 1, 97. Yes, 97 is a prime number. Its only factors are 1 and 97.
Factor pairs of 97
Every factor has a partner that multiplies with it to give 97. Listing pairs from the outside in is the fastest way to find all the factors: once the two numbers in a pair meet in the middle, you have them all.
| Pair | Check |
|---|---|
| 1 and 97 | 1 × 97 = 97 |
Prime factorization of 97, step by step
97 is prime, so the ladder is one rung: nothing smaller than 97 divides it except 1. To confirm, you only need to test primes up to √97 ≈ 9: 97 ÷ 2 leaves 1; 97 ÷ 3 leaves 1; 97 ÷ 5 leaves 2; 97 ÷ 7 leaves 6.
Divisibility checks for 97
The quick rules a student uses before dividing, applied to 97:
| Divisible by | Rule | For 97 | Result |
|---|---|---|---|
| 2 | last digit is even | last digit 7 | no |
| 3 | digit sum divisible by 3 | digits add to 16 | no |
| 4 | last two digits divisible by 4 | 97 ÷ 4 | no |
| 5 | last digit is 0 or 5 | last digit 7 | no |
| 6 | divisible by both 2 and 3 | odd, digit sum 16 | no |
| 8 | last three digits divisible by 8 | 97 ÷ 8 | no |
| 9 | digit sum divisible by 9 | digits add to 16 | no |
| 10 | last digit is 0 | last digit 7 | no |
Frequently Asked Questions
What are the factors of 97?
The factors of 97 are 1, 97.
Is 97 a prime number?
Yes, 97 is a prime number. Its only factors are 1 and 97.
How many factors does 97 have?
97 has 2 factors.
Is 97 even or odd?
97 is odd (2 is not a factor).
What is the sum of the factors of 97?
1 + 97 = 98. Leaving out 97 itself, the proper factors add to 1, less than 97, so 97 is a deficient number.
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