Factors of 637
The factors of 637 are 1, 7, 13, 49, 91, and 637. In total, 637 has 6 factors. Its prime factorization is 7² × 13, and the sum of all its factors is 798.
All factors of 637
Here are all 6 factors of 637, listed from smallest to largest.
Factor pairs of 637
These 3 pairs of whole numbers each multiply to give 637.
Prime factorization of 637
Dividing 637 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 637 are 7, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 637
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 637
| Number of factors | 6 |
|---|---|
| Sum of factors | 798 |
| Sum of proper factors | 161 |
| Prime factorization | 7² × 13 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 637 interesting
- 637 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
- 637 is a deficient number: its proper factors sum to 161, which is 476 less than 637 itself.
How to find the factors of 637 yourself
Divide 637 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 √637 ≈ 25.24, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 7, 13, 49, 91, 637. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 637.
Frequently asked questions about 637
What are the factors of 637?
Is 637 a prime number?
What is the prime factorization of 637?
What two numbers multiply to give 637?
What is the sum of the factors of 637?
Is 637 a perfect square?
What is the largest factor of 637 other than itself?
How many factors does 637 have?
Explore more
Try another number in the factor calculator, break 637 down further with the prime factorization calculator, or compare 637 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.