Factor Calculator

Factors of 200

The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200. In total, 200 has 12 factors. Its prime factorization is 2³ × 5², and the sum of all its factors is 465.

All factors of 200

Here are all 12 factors of 200, listed from smallest to largest.

124581020254050100200

Factor pairs of 200

These 6 pairs of whole numbers each multiply to give 200.

1 × 200 = 200
2 × 100 = 200
4 × 50 = 200
5 × 40 = 200
8 × 25 = 200
10 × 20 = 200

Prime factorization of 200

Dividing 200 by the smallest prime at each step gives its prime factorization:

200 ÷ 2 = 100
100 ÷ 2 = 50
50 ÷ 2 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Result: 200 = 2 × 2 × 2 × 5 × 5 = 2³ × 5²

The distinct prime factors of 200 are 2, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 200

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

Factor tree of 200200210025022555
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 200

Number of factors12
Sum of factors465
Sum of proper factors265
Prime factorization2³ × 5²
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 200 interesting

  • 200 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.
  • 200 is an abundant number: its proper factors sum to 265, which is 65 more than 200 itself.

How to find the factors of 200 yourself

Divide 200 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 √200 ≈ 14.14, because every factor above that pairs with one below it.

200 ÷ 1 = 200 ✓
200 ÷ 2 = 100 ✓
200 ÷ 4 = 50 ✓
200 ÷ 5 = 40 ✓
200 ÷ 8 = 25 ✓
200 ÷ 10 = 20 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200. The factor calculator does this automatically for any number.

Numbers mathematically connected to 200.

Frequently asked questions about 200

What are the factors of 200?

The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200. That is 12 factors in total, counting both 1 and 200.

Is 200 a prime number?

No, 200 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 200 is also divisible by 2.

What is the prime factorization of 200?

The prime factorization of 200 is 2³ × 5². Written out in full: 2 × 2 × 2 × 5 × 5 = 200. Its distinct prime factors are 2, 5.

What two numbers multiply to give 200?

There are 6 pairs of whole numbers that multiply to 200: 1 × 200, 2 × 100, 4 × 50, 5 × 40, 8 × 25, 10 × 20.

What is the sum of the factors of 200?

Adding all the factors of 200 together gives 465. Excluding 200 itself, the proper factors sum to 265.

Is 200 a perfect square?

No, 200 is not a perfect square. There is no whole number that multiplies by itself to give 200. The nearest perfect squares are 196 and 225.

What is the largest factor of 200 other than itself?

The largest factor of 200 apart from 200 itself is 100, since 200 ÷ 100 = 2.

How many factors does 200 have?

200 has 12 factors: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200. You can verify this from the prime factorization 2³ × 5²: add 1 to each exponent and multiply, giving 4 × 3 = 12.

Explore more

Try another number in the factor calculator, break 200 down further with the prime factorization calculator, or compare 200 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.