Factors of 49
The factors of 49 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: 49 pairs with itself at the middle row (7 × 7). The largest prime factor is 7: 49 = 7 × 7. Every factor together sums to 57 — the proper divisors (all factors but 49 itself) add to 8, which is less than 49 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 × 49 = 49 |
| 7 | 7 × 7 = 49 |
| 49 | 49 × 1 = 49 |
Frequently asked questions
What are the factors of 49?
The factors of 49 are 1, 7, 49 — that is 3 factors in total.
How do you find factors of 49?
Test each number from 1 up to 49: if it divides 49 with no remainder, it is a factor. Pair test — every factor pairs with a cofactor, like 1 × 7 = 49.
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.