Factors of 57
The factors of 57 are 1, 3, 19, and 57. In total, 57 has 4 factors. Its prime factorization is 3 × 19, and the sum of all its factors is 80.
All factors of 57
Here are all 4 factors of 57, listed from smallest to largest.
Factor pairs of 57
These 2 pairs of whole numbers each multiply to give 57.
Prime factorization of 57
Dividing 57 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 57 are 3, 19. To factorize any other number, use the prime factorization calculator.
Factor tree of 57
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 57
| Number of factors | 4 |
|---|---|
| Sum of factors | 80 |
| Sum of proper factors | 23 |
| Prime factorization | 3 × 19 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 57 interesting
- 57 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 57 is a deficient number: its proper factors sum to 23, which is 34 less than 57 itself.
How to find the factors of 57 yourself
Divide 57 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 √57 ≈ 7.55, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 19, 57. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 57.
Frequently asked questions about 57
What are the factors of 57?
Is 57 a prime number?
What is the prime factorization of 57?
What two numbers multiply to give 57?
What is the sum of the factors of 57?
Is 57 a perfect square?
What is the largest factor of 57 other than itself?
How many factors does 57 have?
Explore more
Try another number in the factor calculator, break 57 down further with the prime factorization calculator, or compare 57 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.