Factors of 52
The factors of 52 are 1, 2, 4, 13, 26, and 52. In total, 52 has 6 factors. Its prime factorization is 2² × 13, and the sum of all its factors is 98.
All factors of 52
Here are all 6 factors of 52, listed from smallest to largest.
Factor pairs of 52
These 3 pairs of whole numbers each multiply to give 52.
Prime factorization of 52
Dividing 52 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 52 are 2, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 52
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 52
| Number of factors | 6 |
|---|---|
| Sum of factors | 98 |
| Sum of proper factors | 46 |
| Prime factorization | 2² × 13 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 52 interesting
- 52 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.
- 52 is a deficient number: its proper factors sum to 46, which is 6 less than 52 itself.
How to find the factors of 52 yourself
Divide 52 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 √52 ≈ 7.21, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 13, 26, 52. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 52.
Frequently asked questions about 52
What are the factors of 52?
Is 52 a prime number?
What is the prime factorization of 52?
What two numbers multiply to give 52?
What is the sum of the factors of 52?
Is 52 a perfect square?
What is the largest factor of 52 other than itself?
How many factors does 52 have?
Explore more
Try another number in the factor calculator, break 52 down further with the prime factorization calculator, or compare 52 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.