Factors of 16
The factors of 16 are the numbers that divide it exactly. Finding factors is the first step in simplifying fractions and factoring expressions.
A composite carrying 5 factors — an odd count, the perfect-square tell: 16 pairs with itself at the middle row (4 × 4). The largest prime factor is 2: 16 = 2 × 8. Every factor together sums to 31 — the proper divisors (all factors but 16 itself) add to 15, which is less than 16 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 × 16 = 16 |
| 2 | 2 × 8 = 16 |
| 4 | 4 × 4 = 16 |
| 8 | 8 × 2 = 16 |
| 16 | 16 × 1 = 16 |
Frequently asked questions
What are the factors of 16?
The factors of 16 are 1, 2, 4, 8, 16 — that is 5 factors in total.
How do you find factors of 16?
Test each number from 1 up to 16: if it divides 16 with no remainder, it is a factor. Pair test — every factor pairs with a cofactor, like 1 × 2 = 16.
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.