Factor Calculator

Factors of 708

The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, and 708. In total, 708 has 12 factors. Its prime factorization is 2² × 3 × 59, and the sum of all its factors is 1680.

All factors of 708

Here are all 12 factors of 708, listed from smallest to largest.

123461259118177236354708

Factor pairs of 708

These 6 pairs of whole numbers each multiply to give 708.

1 × 708 = 708
2 × 354 = 708
3 × 236 = 708
4 × 177 = 708
6 × 118 = 708
12 × 59 = 708

Prime factorization of 708

Dividing 708 by the smallest prime at each step gives its prime factorization:

708 ÷ 2 = 354
354 ÷ 2 = 177
177 ÷ 3 = 59
59 ÷ 59 = 1
Result: 708 = 2 × 2 × 3 × 59 = 2² × 3 × 59

The distinct prime factors of 708 are 2, 3, 59. To factorize any other number, use the prime factorization calculator.

Factor tree of 708

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

Factor tree of 70870823542177359
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 708

Number of factors12
Sum of factors1680
Sum of proper factors972
Prime factorization2² × 3 × 59
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 708 interesting

  • 708 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 708 is an abundant number: its proper factors sum to 972, which is 264 more than 708 itself.
  • 708 has 3 distinct prime factors (2, 3, 59), which is why it has so many divisors.

How to find the factors of 708 yourself

Divide 708 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 √708 ≈ 26.61, because every factor above that pairs with one below it.

708 ÷ 1 = 708 ✓
708 ÷ 2 = 354 ✓
708 ÷ 3 = 236 ✓
708 ÷ 4 = 177 ✓
708 ÷ 6 = 118 ✓
708 ÷ 12 = 59 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708. The factor calculator does this automatically for any number.

Numbers mathematically connected to 708.

Frequently asked questions about 708

What are the factors of 708?

The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, and 708. That is 12 factors in total, counting both 1 and 708.

Is 708 a prime number?

No, 708 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 708 is also divisible by 2.

What is the prime factorization of 708?

The prime factorization of 708 is 2² × 3 × 59. Written out in full: 2 × 2 × 3 × 59 = 708. Its distinct prime factors are 2, 3, 59.

What two numbers multiply to give 708?

There are 6 pairs of whole numbers that multiply to 708: 1 × 708, 2 × 354, 3 × 236, 4 × 177, 6 × 118, 12 × 59.

What is the sum of the factors of 708?

Adding all the factors of 708 together gives 1680. Excluding 708 itself, the proper factors sum to 972.

Is 708 a perfect square?

No, 708 is not a perfect square. There is no whole number that multiplies by itself to give 708. The nearest perfect squares are 676 and 729.

What is the largest factor of 708 other than itself?

The largest factor of 708 apart from 708 itself is 354, since 708 ÷ 354 = 2.

How many factors does 708 have?

708 has 12 factors: 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, and 708. You can verify this from the prime factorization 2² × 3 × 59: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 708 down further with the prime factorization calculator, or compare 708 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.