Factors of 76
The factors of 76 are 1, 2, 4, 19, 38, and 76. In total, 76 has 6 factors. Its prime factorization is 2² × 19, and the sum of all its factors is 140.
All factors of 76
Here are all 6 factors of 76, listed from smallest to largest.
Factor pairs of 76
These 3 pairs of whole numbers each multiply to give 76.
Prime factorization of 76
Dividing 76 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 76 are 2, 19. To factorize any other number, use the prime factorization calculator.
Factor tree of 76
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 76
| Number of factors | 6 |
|---|---|
| Sum of factors | 140 |
| Sum of proper factors | 64 |
| Prime factorization | 2² × 19 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 76 interesting
- 76 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
- 76 is a deficient number: its proper factors sum to 64, which is 12 less than 76 itself.
How to find the factors of 76 yourself
Divide 76 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 √76 ≈ 8.72, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 19, 38, 76. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 76.
Frequently asked questions about 76
What are the factors of 76?
Is 76 a prime number?
What is the prime factorization of 76?
What two numbers multiply to give 76?
What is the sum of the factors of 76?
Is 76 a perfect square?
What is the largest factor of 76 other than itself?
How many factors does 76 have?
Explore more
Try another number in the factor calculator, break 76 down further with the prime factorization calculator, or compare 76 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.