Factor Calculator

Factors of 700

The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, and 700. In total, 700 has 18 factors. Its prime factorization is 2² × 5² × 7, and the sum of all its factors is 1736.

All factors of 700

Here are all 18 factors of 700, listed from smallest to largest.

124571014202528355070100140175350700

Factor pairs of 700

These 9 pairs of whole numbers each multiply to give 700.

1 × 700 = 700
2 × 350 = 700
4 × 175 = 700
5 × 140 = 700
7 × 100 = 700
10 × 70 = 700
14 × 50 = 700
20 × 35 = 700
25 × 28 = 700

Prime factorization of 700

Dividing 700 by the smallest prime at each step gives its prime factorization:

700 ÷ 2 = 350
350 ÷ 2 = 175
175 ÷ 5 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
Result: 700 = 2 × 2 × 5 × 5 × 7 = 2² × 5² × 7

The distinct prime factors of 700 are 2, 5, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 700

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

Factor tree of 7007002350217553557
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 700

Number of factors18
Sum of factors1736
Sum of proper factors1036
Prime factorization2² × 5² × 7
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 700 interesting

  • 700 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 9 different ways.
  • 700 is an abundant number: its proper factors sum to 1036, which is 336 more than 700 itself.
  • 700 has 3 distinct prime factors (2, 5, 7), which is why it has so many divisors.

How to find the factors of 700 yourself

Divide 700 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 √70026.46, because every factor above that pairs with one below it.

700 ÷ 1 = 700
700 ÷ 2 = 350
700 ÷ 4 = 175
700 ÷ 5 = 140
700 ÷ 7 = 100
700 ÷ 10 = 70
700 ÷ 14 = 50
700 ÷ 20 = 35
700 ÷ 25 = 28

Reading both columns gives every factor: 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700. The factor calculator does this automatically for any number.

Frequently asked questions about 700

What are the factors of 700?

The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, and 700. That is 18 factors in total, counting both 1 and 700.

Is 700 a prime number?

No, 700 is not prime — it is a composite number with 18 factors. A prime number has exactly two factors, but 700 is also divisible by 2.

What is the prime factorization of 700?

The prime factorization of 700 is 2² × 5² × 7. Written out in full: 2 × 2 × 5 × 5 × 7 = 700. Its distinct prime factors are 2, 5, 7.

What two numbers multiply to give 700?

There are 9 pairs of whole numbers that multiply to 700: 1 × 700, 2 × 350, 4 × 175, 5 × 140, 7 × 100, 10 × 70, 14 × 50, 20 × 35, 25 × 28.

What is the sum of the factors of 700?

Adding all the factors of 700 together gives 1736. Excluding 700 itself, the proper factors sum to 1036.

Is 700 a perfect square?

No, 700 is not a perfect square. There is no whole number that multiplies by itself to give 700. The nearest perfect squares are 676 and 729.

What is the largest factor of 700 other than itself?

The largest factor of 700 apart from 700 itself is 350, since 700 ÷ 350 = 2.

How many factors does 700 have?

700 has 18 factors: 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, and 700. You can verify this from the prime factorization 2² × 5² × 7: add 1 to each exponent and multiply, giving 3 × 3 × 2 = 18.

Explore more

Try another number in the factor calculator, break 700 down further with the prime factorization calculator, or compare 700 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.