Factors of 737
The factors of 737 are 1, 11, 67, and 737. In total, 737 has 4 factors. Its prime factorization is 11 × 67, and the sum of all its factors is 816.
All factors of 737
Here are all 4 factors of 737, listed from smallest to largest.
Factor pairs of 737
These 2 pairs of whole numbers each multiply to give 737.
Prime factorization of 737
Dividing 737 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 737 are 11, 67. To factorize any other number, use the prime factorization calculator.
Factor tree of 737
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 737
| Number of factors | 4 |
|---|---|
| Sum of factors | 816 |
| Sum of proper factors | 79 |
| Prime factorization | 11 × 67 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 737 interesting
- 737 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 737 is a deficient number: its proper factors sum to 79, which is 658 less than 737 itself.
How to find the factors of 737 yourself
Divide 737 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 √737 ≈ 27.15, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 11, 67, 737. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 737.
Frequently asked questions about 737
What are the factors of 737?
Is 737 a prime number?
What is the prime factorization of 737?
What two numbers multiply to give 737?
What is the sum of the factors of 737?
Is 737 a perfect square?
What is the largest factor of 737 other than itself?
How many factors does 737 have?
Explore more
Try another number in the factor calculator, break 737 down further with the prime factorization calculator, or compare 737 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.