Factors of 732
The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, and 732. In total, 732 has 12 factors. Its prime factorization is 2² × 3 × 61, and the sum of all its factors is 1736.
All factors of 732
Here are all 12 factors of 732, listed from smallest to largest.
Factor pairs of 732
These 6 pairs of whole numbers each multiply to give 732.
Prime factorization of 732
Dividing 732 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 732 are 2, 3, 61. To factorize any other number, use the prime factorization calculator.
Factor tree of 732
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 732
| Number of factors | 12 |
|---|---|
| Sum of factors | 1736 |
| Sum of proper factors | 1004 |
| Prime factorization | 2² × 3 × 61 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 732 interesting
- 732 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.
- 732 is an abundant number: its proper factors sum to 1004, which is 272 more than 732 itself.
- 732 has 3 distinct prime factors (2, 3, 61), which is why it has so many divisors.
How to find the factors of 732 yourself
Divide 732 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 √732 ≈ 27.06, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 732.
Frequently asked questions about 732
What are the factors of 732?
Is 732 a prime number?
What is the prime factorization of 732?
What two numbers multiply to give 732?
What is the sum of the factors of 732?
Is 732 a perfect square?
What is the largest factor of 732 other than itself?
How many factors does 732 have?
Explore more
Try another number in the factor calculator, break 732 down further with the prime factorization calculator, or compare 732 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.