Factors of 1112
The factors of 1112 are 1, 2, 4, 8, 139, 278, 556, and 1112. In total, 1112 has 8 factors. Its prime factorization is 2³ × 139, and the sum of all its factors is 2100.
All factors of 1112
Here are all 8 factors of 1112, listed from smallest to largest.
Factor pairs of 1112
These 4 pairs of whole numbers each multiply to give 1112.
Prime factorization of 1112
Dividing 1112 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1112 are 2, 139. To factorize any other number, use the prime factorization calculator.
Factor tree of 1112
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1112
| Number of factors | 8 |
|---|---|
| Sum of factors | 2100 |
| Sum of proper factors | 988 |
| Prime factorization | 2³ × 139 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1112 interesting
- 1112 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 1112 is a deficient number: its proper factors sum to 988, which is 124 less than 1112 itself.
How to find the factors of 1112 yourself
Divide 1112 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 √1112 ≈ 33.35, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 139, 278, 556, 1112. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1112.
Frequently asked questions about 1112
What are the factors of 1112?
Is 1112 a prime number?
What is the prime factorization of 1112?
What two numbers multiply to give 1112?
What is the sum of the factors of 1112?
Is 1112 a perfect square?
What is the largest factor of 1112 other than itself?
How many factors does 1112 have?
Explore more
Try another number in the factor calculator, break 1112 down further with the prime factorization calculator, or compare 1112 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.