Factors of 756
The factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, and 756. In total, 756 has 24 factors. Its prime factorization is 2² × 3³ × 7, and the sum of all its factors is 2240.
All factors of 756
Here are all 24 factors of 756, listed from smallest to largest.
Factor pairs of 756
These 12 pairs of whole numbers each multiply to give 756.
Prime factorization of 756
Dividing 756 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 756 are 2, 3, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 756
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 756
| Number of factors | 24 |
|---|---|
| Sum of factors | 2240 |
| Sum of proper factors | 1484 |
| Prime factorization | 2² × 3³ × 7 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 756 interesting
- 756 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 12 different ways.
- 756 is an abundant number: its proper factors sum to 1484, which is 728 more than 756 itself.
- 756 has 3 distinct prime factors (2, 3, 7), which is why it has so many divisors.
How to find the factors of 756 yourself
Divide 756 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 √756 ≈ 27.50, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 756.
Frequently asked questions about 756
What are the factors of 756?
Is 756 a prime number?
What is the prime factorization of 756?
What two numbers multiply to give 756?
What is the sum of the factors of 756?
Is 756 a perfect square?
What is the largest factor of 756 other than itself?
How many factors does 756 have?
Explore more
Try another number in the factor calculator, break 756 down further with the prime factorization calculator, or compare 756 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.