Factors of 736
The factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, and 736. In total, 736 has 12 factors. Its prime factorization is 2⁵ × 23, and the sum of all its factors is 1512.
All factors of 736
Here are all 12 factors of 736, listed from smallest to largest.
Factor pairs of 736
These 6 pairs of whole numbers each multiply to give 736.
Prime factorization of 736
Dividing 736 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 736 are 2, 23. To factorize any other number, use the prime factorization calculator.
Factor tree of 736
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 736
| Number of factors | 12 |
|---|---|
| Sum of factors | 1512 |
| Sum of proper factors | 776 |
| Prime factorization | 2⁵ × 23 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 736 interesting
- 736 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
- 736 is an abundant number: its proper factors sum to 776, which is 40 more than 736 itself.
How to find the factors of 736 yourself
Divide 736 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 √736 ≈ 27.13, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 736.
Frequently asked questions about 736
What are the factors of 736?
Is 736 a prime number?
What is the prime factorization of 736?
What two numbers multiply to give 736?
What is the sum of the factors of 736?
Is 736 a perfect square?
What is the largest factor of 736 other than itself?
How many factors does 736 have?
Explore more
Try another number in the factor calculator, break 736 down further with the prime factorization calculator, or compare 736 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.