Factor Calculator

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.

1236103206309618

Factor pairs of 618

These 4 pairs of whole numbers each multiply to give 618.

1 × 618 = 618
2 × 309 = 618
3 × 206 = 618
6 × 103 = 618

Prime factorization of 618

Dividing 618 by the smallest prime at each step gives its prime factorization:

618 ÷ 2 = 309
309 ÷ 3 = 103
103 ÷ 103 = 1
Result: 618 = 2 × 3 × 103 = 2 × 3 × 103

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.

Factor tree of 61861823093103
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 618

Number of factors8
Sum of factors1248
Sum of proper factors630
Prime factorization2 × 3 × 103
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

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 √61824.86, because every factor above that pairs with one below it.

618 ÷ 1 = 618
618 ÷ 2 = 309
618 ÷ 3 = 206
618 ÷ 6 = 103

Reading both columns gives every factor: 1, 2, 3, 6, 103, 206, 309, 618. The factor calculator does this automatically for any number.

Frequently asked questions about 618

What are the factors of 618?

The factors of 618 are 1, 2, 3, 6, 103, 206, 309, and 618. That is 8 factors in total, counting both 1 and 618.

Is 618 a prime number?

No, 618 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 618 is also divisible by 2.

What is the prime factorization of 618?

The prime factorization of 618 is 2 × 3 × 103. Written out in full: 2 × 3 × 103 = 618. Its distinct prime factors are 2, 3, 103.

What two numbers multiply to give 618?

There are 4 pairs of whole numbers that multiply to 618: 1 × 618, 2 × 309, 3 × 206, 6 × 103.

What is the sum of the factors of 618?

Adding all the factors of 618 together gives 1248. Excluding 618 itself, the proper factors sum to 630.

Is 618 a perfect square?

No, 618 is not a perfect square. There is no whole number that multiplies by itself to give 618. The nearest perfect squares are 576 and 625.

What is the largest factor of 618 other than itself?

The largest factor of 618 apart from 618 itself is 309, since 618 ÷ 309 = 2.

How many factors does 618 have?

618 has 8 factors: 1, 2, 3, 6, 103, 206, 309, and 618. You can verify this from the prime factorization 2 × 3 × 103: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

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.