Factor Calculator

Factors of 704

The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, and 704. In total, 704 has 14 factors. Its prime factorization is 2⁶ × 11, and the sum of all its factors is 1524.

All factors of 704

Here are all 14 factors of 704, listed from smallest to largest.

124811162232446488176352704

Factor pairs of 704

These 7 pairs of whole numbers each multiply to give 704.

1 × 704 = 704
2 × 352 = 704
4 × 176 = 704
8 × 88 = 704
11 × 64 = 704
16 × 44 = 704
22 × 32 = 704

Prime factorization of 704

Dividing 704 by the smallest prime at each step gives its prime factorization:

704 ÷ 2 = 352
352 ÷ 2 = 176
176 ÷ 2 = 88
88 ÷ 2 = 44
44 ÷ 2 = 22
22 ÷ 2 = 11
11 ÷ 11 = 1
Result: 704 = 2 × 2 × 2 × 2 × 2 × 2 × 11 = 2⁶ × 11

The distinct prime factors of 704 are 2, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 704

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

Factor tree of 70470423522176288244222211
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 704

Number of factors14
Sum of factors1524
Sum of proper factors820
Prime factorization2⁶ × 11
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 704 interesting

  • 704 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 7 different ways.
  • 704 is an abundant number: its proper factors sum to 820, which is 116 more than 704 itself.

How to find the factors of 704 yourself

Divide 704 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 √704 ≈ 26.53, because every factor above that pairs with one below it.

704 ÷ 1 = 704 ✓
704 ÷ 2 = 352 ✓
704 ÷ 4 = 176 ✓
704 ÷ 8 = 88 ✓
704 ÷ 11 = 64 ✓
704 ÷ 16 = 44 ✓
704 ÷ 22 = 32 ✓

Reading both columns gives every factor: 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704. The factor calculator does this automatically for any number.

Numbers mathematically connected to 704.

Frequently asked questions about 704

What are the factors of 704?

The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, and 704. That is 14 factors in total, counting both 1 and 704.

Is 704 a prime number?

No, 704 is not prime — it is a composite number with 14 factors. A prime number has exactly two factors, but 704 is also divisible by 2.

What is the prime factorization of 704?

The prime factorization of 704 is 2⁶ × 11. Written out in full: 2 × 2 × 2 × 2 × 2 × 2 × 11 = 704. Its distinct prime factors are 2, 11.

What two numbers multiply to give 704?

There are 7 pairs of whole numbers that multiply to 704: 1 × 704, 2 × 352, 4 × 176, 8 × 88, 11 × 64, 16 × 44, 22 × 32.

What is the sum of the factors of 704?

Adding all the factors of 704 together gives 1524. Excluding 704 itself, the proper factors sum to 820.

Is 704 a perfect square?

No, 704 is not a perfect square. There is no whole number that multiplies by itself to give 704. The nearest perfect squares are 676 and 729.

What is the largest factor of 704 other than itself?

The largest factor of 704 apart from 704 itself is 352, since 704 ÷ 352 = 2.

How many factors does 704 have?

704 has 14 factors: 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, and 704. You can verify this from the prime factorization 2⁶ × 11: add 1 to each exponent and multiply, giving 7 × 2 = 14.

Explore more

Try another number in the factor calculator, break 704 down further with the prime factorization calculator, or compare 704 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.