Factors of 460
The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, and 460. In total, 460 has 12 factors. Its prime factorization is 2² × 5 × 23, and the sum of all its factors is 1008.
All factors of 460
Here are all 12 factors of 460, listed from smallest to largest.
Factor pairs of 460
These 6 pairs of whole numbers each multiply to give 460.
Prime factorization of 460
Dividing 460 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 460 are 2, 5, 23. To factorize any other number, use the prime factorization calculator.
Factor tree of 460
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 460
| Number of factors | 12 |
|---|---|
| Sum of factors | 1008 |
| Sum of proper factors | 548 |
| Prime factorization | 2² × 5 × 23 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 460 interesting
- 460 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
- 460 is an abundant number: its proper factors sum to 548, which is 88 more than 460 itself.
- 460 has 3 distinct prime factors (2, 5, 23), which is why it has so many divisors.
How to find the factors of 460 yourself
Divide 460 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 √460 ≈ 21.45, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 460.
Frequently asked questions about 460
What are the factors of 460?
Is 460 a prime number?
What is the prime factorization of 460?
What two numbers multiply to give 460?
What is the sum of the factors of 460?
Is 460 a perfect square?
What is the largest factor of 460 other than itself?
How many factors does 460 have?
Explore more
Try another number in the factor calculator, break 460 down further with the prime factorization calculator, or compare 460 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.