Factors of 1057
The factors of 1057 are 1, 7, 151, and 1057. In total, 1057 has 4 factors. Its prime factorization is 7 × 151, and the sum of all its factors is 1216.
All factors of 1057
Here are all 4 factors of 1057, listed from smallest to largest.
Factor pairs of 1057
These 2 pairs of whole numbers each multiply to give 1057.
Prime factorization of 1057
Dividing 1057 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1057 are 7, 151. To factorize any other number, use the prime factorization calculator.
Factor tree of 1057
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1057
| Number of factors | 4 |
|---|---|
| Sum of factors | 1216 |
| Sum of proper factors | 159 |
| Prime factorization | 7 × 151 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1057 interesting
- 1057 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.
- 1057 is a deficient number: its proper factors sum to 159, which is 898 less than 1057 itself.
How to find the factors of 1057 yourself
Divide 1057 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 √1057 ≈ 32.51, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 7, 151, 1057. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1057.
Frequently asked questions about 1057
What are the factors of 1057?
Is 1057 a prime number?
What is the prime factorization of 1057?
What two numbers multiply to give 1057?
What is the sum of the factors of 1057?
Is 1057 a perfect square?
What is the largest factor of 1057 other than itself?
How many factors does 1057 have?
Explore more
Try another number in the factor calculator, break 1057 down further with the prime factorization calculator, or compare 1057 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.