Factor Calculator

Factors of 716

The factors of 716 are 1, 2, 4, 179, 358, and 716. In total, 716 has 6 factors. Its prime factorization is 2² × 179, and the sum of all its factors is 1260.

All factors of 716

Here are all 6 factors of 716, listed from smallest to largest.

124179358716

Factor pairs of 716

These 3 pairs of whole numbers each multiply to give 716.

1 × 716 = 716
2 × 358 = 716
4 × 179 = 716

Prime factorization of 716

Dividing 716 by the smallest prime at each step gives its prime factorization:

716 ÷ 2 = 358
358 ÷ 2 = 179
179 ÷ 179 = 1
Result: 716 = 2 × 2 × 179 = 2² × 179

The distinct prime factors of 716 are 2, 179. To factorize any other number, use the prime factorization calculator.

Factor tree of 716

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

Factor tree of 71671623582179
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 716

Number of factors6
Sum of factors1260
Sum of proper factors544
Prime factorization2² × 179
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 716 interesting

  • 716 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 716 is a deficient number: its proper factors sum to 544, which is 172 less than 716 itself.

How to find the factors of 716 yourself

Divide 716 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 √71626.76, because every factor above that pairs with one below it.

716 ÷ 1 = 716
716 ÷ 2 = 358
716 ÷ 4 = 179

Reading both columns gives every factor: 1, 2, 4, 179, 358, 716. The factor calculator does this automatically for any number.

Frequently asked questions about 716

What are the factors of 716?

The factors of 716 are 1, 2, 4, 179, 358, and 716. That is 6 factors in total, counting both 1 and 716.

Is 716 a prime number?

No, 716 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 716 is also divisible by 2.

What is the prime factorization of 716?

The prime factorization of 716 is 2² × 179. Written out in full: 2 × 2 × 179 = 716. Its distinct prime factors are 2, 179.

What two numbers multiply to give 716?

There are 3 pairs of whole numbers that multiply to 716: 1 × 716, 2 × 358, 4 × 179.

What is the sum of the factors of 716?

Adding all the factors of 716 together gives 1260. Excluding 716 itself, the proper factors sum to 544.

Is 716 a perfect square?

No, 716 is not a perfect square. There is no whole number that multiplies by itself to give 716. The nearest perfect squares are 676 and 729.

What is the largest factor of 716 other than itself?

The largest factor of 716 apart from 716 itself is 358, since 716 ÷ 358 = 2.

How many factors does 716 have?

716 has 6 factors: 1, 2, 4, 179, 358, and 716. You can verify this from the prime factorization 2² × 179: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 716 down further with the prime factorization calculator, or compare 716 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.