Factor Calculator

Factors of 201

The factors of 201 are 1, 3, 67, and 201. In total, 201 has 4 factors. Its prime factorization is 3 × 67, and the sum of all its factors is 272.

All factors of 201

Here are all 4 factors of 201, listed from smallest to largest.

1367201

Factor pairs of 201

These 2 pairs of whole numbers each multiply to give 201.

1 × 201 = 201
3 × 67 = 201

Prime factorization of 201

Dividing 201 by the smallest prime at each step gives its prime factorization:

201 ÷ 3 = 67
67 ÷ 67 = 1
Result: 201 = 3 × 67 = 3 × 67

The distinct prime factors of 201 are 3, 67. To factorize any other number, use the prime factorization calculator.

Factor tree of 201

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

Factor tree of 201201367
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 201

Number of factors4
Sum of factors272
Sum of proper factors71
Prime factorization3 × 67
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 201 interesting

  • 201 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 201 is a deficient number: its proper factors sum to 71, which is 130 less than 201 itself.

How to find the factors of 201 yourself

Divide 201 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 √20114.18, because every factor above that pairs with one below it.

201 ÷ 1 = 201
201 ÷ 3 = 67

Reading both columns gives every factor: 1, 3, 67, 201. The factor calculator does this automatically for any number.

Frequently asked questions about 201

What are the factors of 201?

The factors of 201 are 1, 3, 67, and 201. That is 4 factors in total, counting both 1 and 201.

Is 201 a prime number?

No, 201 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 201 is also divisible by 3.

What is the prime factorization of 201?

The prime factorization of 201 is 3 × 67. Written out in full: 3 × 67 = 201. Its distinct prime factors are 3, 67.

What two numbers multiply to give 201?

There are 2 pairs of whole numbers that multiply to 201: 1 × 201, 3 × 67.

What is the sum of the factors of 201?

Adding all the factors of 201 together gives 272. Excluding 201 itself, the proper factors sum to 71.

Is 201 a perfect square?

No, 201 is not a perfect square. There is no whole number that multiplies by itself to give 201. The nearest perfect squares are 196 and 225.

What is the largest factor of 201 other than itself?

The largest factor of 201 apart from 201 itself is 67, since 201 ÷ 67 = 3.

How many factors does 201 have?

201 has 4 factors: 1, 3, 67, and 201. You can verify this from the prime factorization 3 × 67: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 201 down further with the prime factorization calculator, or compare 201 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.