Factors of 252
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, and 252. In total, 252 has 18 factors. Its prime factorization is 2² × 3² × 7, and the sum of all its factors is 728.
All factors of 252
Here are all 18 factors of 252, listed from smallest to largest.
Factor pairs of 252
These 9 pairs of whole numbers each multiply to give 252.
Prime factorization of 252
Dividing 252 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 252 are 2, 3, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 252
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 252
| Number of factors | 18 |
|---|---|
| Sum of factors | 728 |
| Sum of proper factors | 476 |
| Prime factorization | 2² × 3² × 7 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 252 interesting
- 252 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 9 different ways.
- 252 is an abundant number: its proper factors sum to 476, which is 224 more than 252 itself.
- 252 has 3 distinct prime factors (2, 3, 7), which is why it has so many divisors.
How to find the factors of 252 yourself
Divide 252 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 √252 ≈ 15.87, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 252.
Frequently asked questions about 252
What are the factors of 252?
Is 252 a prime number?
What is the prime factorization of 252?
What two numbers multiply to give 252?
What is the sum of the factors of 252?
Is 252 a perfect square?
What is the largest factor of 252 other than itself?
How many factors does 252 have?
Explore more
Try another number in the factor calculator, break 252 down further with the prime factorization calculator, or compare 252 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.