Factor Calculator

Factors of 718

The factors of 718 are 1, 2, 359, and 718. In total, 718 has 4 factors. Its prime factorization is 2 × 359, and the sum of all its factors is 1080.

All factors of 718

Here are all 4 factors of 718, listed from smallest to largest.

12359718

Factor pairs of 718

These 2 pairs of whole numbers each multiply to give 718.

1 × 718 = 718
2 × 359 = 718

Prime factorization of 718

Dividing 718 by the smallest prime at each step gives its prime factorization:

718 ÷ 2 = 359
359 ÷ 359 = 1
Result: 718 = 2 × 359 = 2 × 359

The distinct prime factors of 718 are 2, 359. To factorize any other number, use the prime factorization calculator.

Factor tree of 718

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 7187182359
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 718

Number of factors4
Sum of factors1080
Sum of proper factors362
Prime factorization2 × 359
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 718 interesting

  • 718 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 718 is a deficient number: its proper factors sum to 362, which is 356 less than 718 itself.

How to find the factors of 718 yourself

Divide 718 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 √71826.80, because every factor above that pairs with one below it.

718 ÷ 1 = 718
718 ÷ 2 = 359

Reading both columns gives every factor: 1, 2, 359, 718. The factor calculator does this automatically for any number.

Frequently asked questions about 718

What are the factors of 718?

The factors of 718 are 1, 2, 359, and 718. That is 4 factors in total, counting both 1 and 718.

Is 718 a prime number?

No, 718 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 718 is also divisible by 2.

What is the prime factorization of 718?

The prime factorization of 718 is 2 × 359. Written out in full: 2 × 359 = 718. Its distinct prime factors are 2, 359.

What two numbers multiply to give 718?

There are 2 pairs of whole numbers that multiply to 718: 1 × 718, 2 × 359.

What is the sum of the factors of 718?

Adding all the factors of 718 together gives 1080. Excluding 718 itself, the proper factors sum to 362.

Is 718 a perfect square?

No, 718 is not a perfect square. There is no whole number that multiplies by itself to give 718. The nearest perfect squares are 676 and 729.

What is the largest factor of 718 other than itself?

The largest factor of 718 apart from 718 itself is 359, since 718 ÷ 359 = 2.

How many factors does 718 have?

718 has 4 factors: 1, 2, 359, and 718. You can verify this from the prime factorization 2 × 359: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 718 down further with the prime factorization calculator, or compare 718 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.