Factors of 648
The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, and 648. In total, 648 has 20 factors. Its prime factorization is 2³ × 3⁴, and the sum of all its factors is 1815.
All factors of 648
Here are all 20 factors of 648, listed from smallest to largest.
Factor pairs of 648
These 10 pairs of whole numbers each multiply to give 648.
Prime factorization of 648
Dividing 648 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 648 are 2, 3. To factorize any other number, use the prime factorization calculator.
Factor tree of 648
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 648
| Number of factors | 20 |
|---|---|
| Sum of factors | 1815 |
| Sum of proper factors | 1167 |
| Prime factorization | 2³ × 3⁴ |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 648 interesting
- 648 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 10 different ways.
- 648 is an abundant number: its proper factors sum to 1167, which is 519 more than 648 itself.
How to find the factors of 648 yourself
Divide 648 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 √648 ≈ 25.46, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 648.
Frequently asked questions about 648
What are the factors of 648?
Is 648 a prime number?
What is the prime factorization of 648?
What two numbers multiply to give 648?
What is the sum of the factors of 648?
Is 648 a perfect square?
What is the largest factor of 648 other than itself?
How many factors does 648 have?
Explore more
Try another number in the factor calculator, break 648 down further with the prime factorization calculator, or compare 648 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.