Factors of 88
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, and 88. In total, 88 has 8 factors. Its prime factorization is 2³ × 11, and the sum of all its factors is 180.
All factors of 88
Here are all 8 factors of 88, listed from smallest to largest.
Factor pairs of 88
These 4 pairs of whole numbers each multiply to give 88.
Prime factorization of 88
Dividing 88 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 88 are 2, 11. To factorize any other number, use the prime factorization calculator.
Factor tree of 88
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 88
| Number of factors | 8 |
|---|---|
| Sum of factors | 180 |
| Sum of proper factors | 92 |
| Prime factorization | 2³ × 11 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 88 interesting
- 88 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.
- 88 is an abundant number: its proper factors sum to 92, which is 4 more than 88 itself.
How to find the factors of 88 yourself
Divide 88 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 √88 ≈ 9.38, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 11, 22, 44, 88. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 88.
Frequently asked questions about 88
What are the factors of 88?
Is 88 a prime number?
What is the prime factorization of 88?
What two numbers multiply to give 88?
What is the sum of the factors of 88?
Is 88 a perfect square?
What is the largest factor of 88 other than itself?
How many factors does 88 have?
Explore more
Try another number in the factor calculator, break 88 down further with the prime factorization calculator, or compare 88 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.