Factors of 1052
The factors of 1052 are 1, 2, 4, 263, 526, and 1052. In total, 1052 has 6 factors. Its prime factorization is 2² × 263, and the sum of all its factors is 1848.
All factors of 1052
Here are all 6 factors of 1052, listed from smallest to largest.
Factor pairs of 1052
These 3 pairs of whole numbers each multiply to give 1052.
Prime factorization of 1052
Dividing 1052 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1052 are 2, 263. To factorize any other number, use the prime factorization calculator.
Factor tree of 1052
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1052
| Number of factors | 6 |
|---|---|
| Sum of factors | 1848 |
| Sum of proper factors | 796 |
| Prime factorization | 2² × 263 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1052 interesting
- 1052 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.
- 1052 is a deficient number: its proper factors sum to 796, which is 256 less than 1052 itself.
How to find the factors of 1052 yourself
Divide 1052 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 √1052 ≈ 32.43, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 263, 526, 1052. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1052.
Frequently asked questions about 1052
What are the factors of 1052?
Is 1052 a prime number?
What is the prime factorization of 1052?
What two numbers multiply to give 1052?
What is the sum of the factors of 1052?
Is 1052 a perfect square?
What is the largest factor of 1052 other than itself?
How many factors does 1052 have?
Explore more
Try another number in the factor calculator, break 1052 down further with the prime factorization calculator, or compare 1052 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.