Factors of 752
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, and 752. In total, 752 has 10 factors. Its prime factorization is 2⁴ × 47, and the sum of all its factors is 1488.
All factors of 752
Here are all 10 factors of 752, listed from smallest to largest.
Factor pairs of 752
These 5 pairs of whole numbers each multiply to give 752.
Prime factorization of 752
Dividing 752 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 752 are 2, 47. To factorize any other number, use the prime factorization calculator.
Factor tree of 752
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 752
| Number of factors | 10 |
|---|---|
| Sum of factors | 1488 |
| Sum of proper factors | 736 |
| Prime factorization | 2⁴ × 47 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 752 interesting
- 752 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
- 752 is a deficient number: its proper factors sum to 736, which is 16 less than 752 itself.
How to find the factors of 752 yourself
Divide 752 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 √752 ≈ 27.42, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 16, 47, 94, 188, 376, 752. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 752.
Frequently asked questions about 752
What are the factors of 752?
Is 752 a prime number?
What is the prime factorization of 752?
What two numbers multiply to give 752?
What is the sum of the factors of 752?
Is 752 a perfect square?
What is the largest factor of 752 other than itself?
How many factors does 752 have?
Explore more
Try another number in the factor calculator, break 752 down further with the prime factorization calculator, or compare 752 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.