Factors of 248
The factors of 248 are 1, 2, 4, 8, 31, 62, 124, and 248. In total, 248 has 8 factors. Its prime factorization is 2³ × 31, and the sum of all its factors is 480.
All factors of 248
Here are all 8 factors of 248, listed from smallest to largest.
Factor pairs of 248
These 4 pairs of whole numbers each multiply to give 248.
Prime factorization of 248
Dividing 248 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 248 are 2, 31. To factorize any other number, use the prime factorization calculator.
Factor tree of 248
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 248
| Number of factors | 8 |
|---|---|
| Sum of factors | 480 |
| Sum of proper factors | 232 |
| Prime factorization | 2³ × 31 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 248 interesting
- 248 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.
- 248 is a deficient number: its proper factors sum to 232, which is 16 less than 248 itself.
How to find the factors of 248 yourself
Divide 248 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 √248 ≈ 15.75, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 31, 62, 124, 248. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 248.
Frequently asked questions about 248
What are the factors of 248?
Is 248 a prime number?
What is the prime factorization of 248?
What two numbers multiply to give 248?
What is the sum of the factors of 248?
Is 248 a perfect square?
What is the largest factor of 248 other than itself?
How many factors does 248 have?
Explore more
Try another number in the factor calculator, break 248 down further with the prime factorization calculator, or compare 248 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.