Factors of 17
The factors of 17 are 1, 17. Yes, 17 is a prime number. Its only factors are 1 and 17.
Factor pairs of 17
Every factor has a partner that multiplies with it to give 17. 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 17 | 1 × 17 = 17 |
Prime factorization of 17, step by step
17 is prime, so the ladder is one rung: nothing smaller than 17 divides it except 1. To confirm, you only need to test primes up to √17 ≈ 4: 17 ÷ 2 leaves 1; 17 ÷ 3 leaves 2.
Divisibility checks for 17
The quick rules a student uses before dividing, applied to 17:
| Divisible by | Rule | For 17 | Result |
|---|---|---|---|
| 2 | last digit is even | last digit 7 | no |
| 3 | digit sum divisible by 3 | digits add to 8 | no |
| 4 | last two digits divisible by 4 | 17 ÷ 4 | no |
| 5 | last digit is 0 or 5 | last digit 7 | no |
| 6 | divisible by both 2 and 3 | odd, digit sum 8 | no |
| 8 | last three digits divisible by 8 | 17 ÷ 8 | no |
| 9 | digit sum divisible by 9 | digits add to 8 | no |
| 10 | last digit is 0 | last digit 7 | no |
Frequently Asked Questions
What are the factors of 17?
The factors of 17 are 1, 17.
Is 17 a prime number?
Yes, 17 is a prime number. Its only factors are 1 and 17.
How many factors does 17 have?
17 has 2 factors.
Is 17 even or odd?
17 is odd (2 is not a factor).
What is the sum of the factors of 17?
1 + 17 = 18. Leaving out 17 itself, the proper factors add to 1, less than 17, so 17 is a deficient number.
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