Factors of 612
The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, and 612. In total, 612 has 18 factors. Its prime factorization is 2² × 3² × 17, and the sum of all its factors is 1638.
All factors of 612
Here are all 18 factors of 612, listed from smallest to largest.
Factor pairs of 612
These 9 pairs of whole numbers each multiply to give 612.
Prime factorization of 612
Dividing 612 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 612 are 2, 3, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 612
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 612
| Number of factors | 18 |
|---|---|
| Sum of factors | 1638 |
| Sum of proper factors | 1026 |
| Prime factorization | 2² × 3² × 17 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 612 interesting
- 612 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 9 different ways.
- 612 is an abundant number: its proper factors sum to 1026, which is 414 more than 612 itself.
- 612 has 3 distinct prime factors (2, 3, 17), which is why it has so many divisors.
How to find the factors of 612 yourself
Divide 612 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 √612 ≈ 24.74, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 612.
Frequently asked questions about 612
What are the factors of 612?
Is 612 a prime number?
What is the prime factorization of 612?
What two numbers multiply to give 612?
What is the sum of the factors of 612?
Is 612 a perfect square?
What is the largest factor of 612 other than itself?
How many factors does 612 have?
Explore more
Try another number in the factor calculator, break 612 down further with the prime factorization calculator, or compare 612 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.