Factors of 128
The factors of 128 are 1, 2, 4, 8, 16, 32, 64, and 128. In total, 128 has 8 factors. Its prime factorization is 2⁷, and the sum of all its factors is 255.
All factors of 128
Here are all 8 factors of 128, listed from smallest to largest.
Factor pairs of 128
These 4 pairs of whole numbers each multiply to give 128.
Prime factorization of 128
Dividing 128 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 128 are 2. To factorize any other number, use the prime factorization calculator.
Factor tree of 128
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 128
| Number of factors | 8 |
|---|---|
| Sum of factors | 255 |
| Sum of proper factors | 127 |
| Prime factorization | 2⁷ |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 128 interesting
- 128 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.
- 128 is a deficient number: its proper factors sum to 127, which is 1 less than 128 itself.
- 128 is a prime power: it is 2 raised to the power of 7. All of its factors are powers of 2.
How to find the factors of 128 yourself
Divide 128 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 √128 ≈ 11.31, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 16, 32, 64, 128. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 128.
Frequently asked questions about 128
What are the factors of 128?
Is 128 a prime number?
What is the prime factorization of 128?
What two numbers multiply to give 128?
What is the sum of the factors of 128?
Is 128 a perfect square?
What is the largest factor of 128 other than itself?
How many factors does 128 have?
Explore more
Try another number in the factor calculator, break 128 down further with the prime factorization calculator, or compare 128 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.