Factors of 488
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, and 488. In total, 488 has 8 factors. Its prime factorization is 2³ × 61, and the sum of all its factors is 930.
All factors of 488
Here are all 8 factors of 488, listed from smallest to largest.
Factor pairs of 488
These 4 pairs of whole numbers each multiply to give 488.
Prime factorization of 488
Dividing 488 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 488 are 2, 61. To factorize any other number, use the prime factorization calculator.
Factor tree of 488
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 488
| Number of factors | 8 |
|---|---|
| Sum of factors | 930 |
| Sum of proper factors | 442 |
| Prime factorization | 2³ × 61 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 488 interesting
- 488 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 488 is a deficient number: its proper factors sum to 442, which is 46 less than 488 itself.
How to find the factors of 488 yourself
Divide 488 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 √488 ≈ 22.09, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 61, 122, 244, 488. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 488.
Frequently asked questions about 488
What are the factors of 488?
Is 488 a prime number?
What is the prime factorization of 488?
What two numbers multiply to give 488?
What is the sum of the factors of 488?
Is 488 a perfect square?
What is the largest factor of 488 other than itself?
How many factors does 488 have?
Explore more
Try another number in the factor calculator, break 488 down further with the prime factorization calculator, or compare 488 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.