Factors of 31
The factors of 31 are the numbers that divide it exactly. Finding factors is the first step in simplifying fractions and factoring expressions.
A prime page: the factor list holds exactly two entries — 1 and 31 — with nothing living between them. The pairing column shows the only split that exists, 1 × 31 = 31. The largest prime factor is 31 itself, and every factor together sums to 32. Two different primes share no factor except 1, which is why the GCF of two primes is always 1 — and why a fraction whose top and bottom are both prime cannot be simplified at all.
| Factor | Pairing |
|---|---|
| 1 | 1 × 31 = 31 |
| 31 | 31 × 1 = 31 |
Frequently asked questions
What are the factors of 31?
The factors of 31 are 1, 31 — that is 2 factors in total.
How do you find factors of 31?
Test each number from 1 up to 31: if it divides 31 with no remainder, it is a factor. Pair test — every factor pairs with a cofactor, like 1 × 31 = 31.
Why do factors matter for simplifying fractions?
Simplification divides both top and bottom by their greatest common factor — so a shared factor between two numbers, like you can find in the tables above, makes the fraction smaller and cleaner.