Factors of 464
The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, and 464. In total, 464 has 10 factors. Its prime factorization is 2⁴ × 29, and the sum of all its factors is 930.
All factors of 464
Here are all 10 factors of 464, listed from smallest to largest.
Factor pairs of 464
These 5 pairs of whole numbers each multiply to give 464.
Prime factorization of 464
Dividing 464 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 464 are 2, 29. To factorize any other number, use the prime factorization calculator.
Factor tree of 464
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 464
| Number of factors | 10 |
|---|---|
| Sum of factors | 930 |
| Sum of proper factors | 466 |
| Prime factorization | 2⁴ × 29 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 464 interesting
- 464 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
- 464 is an abundant number: its proper factors sum to 466, which is 2 more than 464 itself.
How to find the factors of 464 yourself
Divide 464 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 √464 ≈ 21.54, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 464.
Frequently asked questions about 464
What are the factors of 464?
Is 464 a prime number?
What is the prime factorization of 464?
What two numbers multiply to give 464?
What is the sum of the factors of 464?
Is 464 a perfect square?
What is the largest factor of 464 other than itself?
How many factors does 464 have?
Explore more
Try another number in the factor calculator, break 464 down further with the prime factorization calculator, or compare 464 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.