Factors of 468
The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, and 468. In total, 468 has 18 factors. Its prime factorization is 2² × 3² × 13, and the sum of all its factors is 1274.
All factors of 468
Here are all 18 factors of 468, listed from smallest to largest.
Factor pairs of 468
These 9 pairs of whole numbers each multiply to give 468.
Prime factorization of 468
Dividing 468 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 468 are 2, 3, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 468
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 468
| Number of factors | 18 |
|---|---|
| Sum of factors | 1274 |
| Sum of proper factors | 806 |
| Prime factorization | 2² × 3² × 13 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 468 interesting
- 468 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.
- 468 is an abundant number: its proper factors sum to 806, which is 338 more than 468 itself.
- 468 has 3 distinct prime factors (2, 3, 13), which is why it has so many divisors.
How to find the factors of 468 yourself
Divide 468 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 √468 ≈ 21.63, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 468.
Frequently asked questions about 468
What are the factors of 468?
Is 468 a prime number?
What is the prime factorization of 468?
What two numbers multiply to give 468?
What is the sum of the factors of 468?
Is 468 a perfect square?
What is the largest factor of 468 other than itself?
How many factors does 468 have?
Explore more
Try another number in the factor calculator, break 468 down further with the prime factorization calculator, or compare 468 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.