Factors of 748
The factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, and 748. In total, 748 has 12 factors. Its prime factorization is 2² × 11 × 17, and the sum of all its factors is 1512.
All factors of 748
Here are all 12 factors of 748, listed from smallest to largest.
Factor pairs of 748
These 6 pairs of whole numbers each multiply to give 748.
Prime factorization of 748
Dividing 748 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 748 are 2, 11, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 748
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 748
| Number of factors | 12 |
|---|---|
| Sum of factors | 1512 |
| Sum of proper factors | 764 |
| Prime factorization | 2² × 11 × 17 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 748 interesting
- 748 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.
- 748 is an abundant number: its proper factors sum to 764, which is 16 more than 748 itself.
- 748 has 3 distinct prime factors (2, 11, 17), which is why it has so many divisors.
How to find the factors of 748 yourself
Divide 748 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 √748 ≈ 27.35, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 748.
Frequently asked questions about 748
What are the factors of 748?
Is 748 a prime number?
What is the prime factorization of 748?
What two numbers multiply to give 748?
What is the sum of the factors of 748?
Is 748 a perfect square?
What is the largest factor of 748 other than itself?
How many factors does 748 have?
Explore more
Try another number in the factor calculator, break 748 down further with the prime factorization calculator, or compare 748 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.