What does 112 divide by?

What Numbers Divide 112? A Quick Look at Its Factors

If you’ve ever wondered what numbers divide evenly into 112, you’re exploring one of the basics of number theory—finding factors. A factor is a number that divides another without leaving a remainder. In the case of 112, it has a total of ten positive factors: 1, 2, 4, 7, 8, 14, 16, 28, 56, and 112.

This means 112 can be evenly divided by each of these numbers. For example, 112 ÷ 7 equals 16, and 112 ÷ 16 gives you 7. It’s also interesting to note that 112 is a composite number—meaning it has more than just two factors (unlike prime numbers, which only have 1 and themselves).

Looking at the list, you might notice patterns. The factors pair up: 1 × 112, 2 × 56, 4 × 28, 7 × 16, and 8 × 14. Each pair multiplies back to 112. This symmetry is common in factorization and helps when simplifying fractions or solving equations.

Additionally, since 112 is divisible by 2, it’s an even number—and further breakdown shows it’s highly composite in structure, with multiple layers of divisibility. Its prime factorization is 2⁴ × 7, which explains why powers of 2 (like 4, 8, and 16) appear in the list.

Whether you're working on math homework, simplifying ratios, or just curious about numbers, knowing the divisors of 112 can be surprisingly useful. And next time you see this number—maybe even in a European emergency context (since 112 is the pan-European emergency number)—you’ll know a bit more about its mathematical personality.