Factors of 618
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, and 618. In total, 618 has 8 factors. Its prime factorization is 2 × 3 × 103, and the sum of all its factors is 1248.
All factors of 618
Here are all 8 factors of 618, listed from smallest to largest.
Factor pairs of 618
These 4 pairs of whole numbers each multiply to give 618.
Prime factorization of 618
Dividing 618 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 618 are 2, 3, 103. To factorize any other number, use the prime factorization calculator.
Factor tree of 618
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 618
| Number of factors | 8 |
|---|---|
| Sum of factors | 1248 |
| Sum of proper factors | 630 |
| Prime factorization | 2 × 3 × 103 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 618 interesting
- 618 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.
- 618 is an abundant number: its proper factors sum to 630, which is 12 more than 618 itself.
- 618 has 3 distinct prime factors (2, 3, 103), which is why it has so many divisors.
How to find the factors of 618 yourself
Divide 618 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 √618 ≈ 24.86, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 6, 103, 206, 309, 618. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 618.
Frequently asked questions about 618
What are the factors of 618?
Is 618 a prime number?
What is the prime factorization of 618?
What two numbers multiply to give 618?
What is the sum of the factors of 618?
Is 618 a perfect square?
What is the largest factor of 618 other than itself?
How many factors does 618 have?
Explore more
Try another number in the factor calculator, break 618 down further with the prime factorization calculator, or compare 618 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.