Factors of 25
The factors of 25 are the numbers that divide it exactly. Finding factors is the first step in simplifying fractions and factoring expressions.
A composite carrying 3 factors — an odd count, the perfect-square tell: 25 pairs with itself at the middle row (5 × 5). The largest prime factor is 5: 25 = 5 × 5. Every factor together sums to 31 — the proper divisors (all factors but 25 itself) add to 6, which is less than 25 itself, a deficient number. Shared factors between two numbers are what the GCF calculator hunts — the pairing column above feeds that search directly.
| Factor | Pairing |
|---|---|
| 1 | 1 × 25 = 25 |
| 5 | 5 × 5 = 25 |
| 25 | 25 × 1 = 25 |
Frequently asked questions
What are the factors of 25?
The factors of 25 are 1, 5, 25 — that is 3 factors in total.
How do you find factors of 25?
Test each number from 1 up to 25: if it divides 25 with no remainder, it is a factor. Pair test — every factor pairs with a cofactor, like 1 × 5 = 25.
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.