Factors of 112
The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, and 112. In total, 112 has 10 factors. Its prime factorization is 2⁴ × 7, and the sum of all its factors is 248.
All factors of 112
Here are all 10 factors of 112, listed from smallest to largest.
Factor pairs of 112
These 5 pairs of whole numbers each multiply to give 112.
Prime factorization of 112
Dividing 112 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 112 are 2, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 112
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 112
| Number of factors | 10 |
|---|---|
| Sum of factors | 248 |
| Sum of proper factors | 136 |
| Prime factorization | 2⁴ × 7 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 112 interesting
- 112 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
- 112 is an abundant number: its proper factors sum to 136, which is 24 more than 112 itself.
How to find the factors of 112 yourself
Divide 112 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √112 ≈ 10.58, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 112.
Frequently asked questions about 112
What are the factors of 112?
Is 112 a prime number?
What is the prime factorization of 112?
What two numbers multiply to give 112?
What is the sum of the factors of 112?
Is 112 a perfect square?
What is the largest factor of 112 other than itself?
How many factors does 112 have?
Explore more
Try another number in the factor calculator, break 112 down further with the prime factorization calculator, or compare 112 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.