Factor Calculator

Factors of 153

The factors of 153 are 1, 3, 9, 17, 51, and 153. In total, 153 has 6 factors. Its prime factorization is 3² × 17, and the sum of all its factors is 234.

All factors of 153

Here are all 6 factors of 153, listed from smallest to largest.

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Factor pairs of 153

These 3 pairs of whole numbers each multiply to give 153.

1 × 153 = 153
3 × 51 = 153
9 × 17 = 153

Prime factorization of 153

Dividing 153 by the smallest prime at each step gives its prime factorization:

153 ÷ 3 = 51
51 ÷ 3 = 17
17 ÷ 17 = 1
Result: 153 = 3 × 3 × 17 = 3² × 17

The distinct prime factors of 153 are 3, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 153

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

Factor tree of 153153351317
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 153

Number of factors6
Sum of factors234
Sum of proper factors81
Prime factorization3² × 17
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 153 interesting

  • 153 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 153 is a deficient number: its proper factors sum to 81, which is 72 less than 153 itself.
  • 153 is a triangular number — it is the sum of the first 17 whole numbers (1 + 2 + … + 17 = 153).

How to find the factors of 153 yourself

Divide 153 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 √15312.37, because every factor above that pairs with one below it.

153 ÷ 1 = 153
153 ÷ 3 = 51
153 ÷ 9 = 17

Reading both columns gives every factor: 1, 3, 9, 17, 51, 153. The factor calculator does this automatically for any number.

Frequently asked questions about 153

What are the factors of 153?

The factors of 153 are 1, 3, 9, 17, 51, and 153. That is 6 factors in total, counting both 1 and 153.

Is 153 a prime number?

No, 153 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 153 is also divisible by 3.

What is the prime factorization of 153?

The prime factorization of 153 is 3² × 17. Written out in full: 3 × 3 × 17 = 153. Its distinct prime factors are 3, 17.

What two numbers multiply to give 153?

There are 3 pairs of whole numbers that multiply to 153: 1 × 153, 3 × 51, 9 × 17.

What is the sum of the factors of 153?

Adding all the factors of 153 together gives 234. Excluding 153 itself, the proper factors sum to 81.

Is 153 a perfect square?

No, 153 is not a perfect square. There is no whole number that multiplies by itself to give 153. The nearest perfect squares are 144 and 169.

What is the largest factor of 153 other than itself?

The largest factor of 153 apart from 153 itself is 51, since 153 ÷ 51 = 3.

How many factors does 153 have?

153 has 6 factors: 1, 3, 9, 17, 51, and 153. You can verify this from the prime factorization 3² × 17: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 153 down further with the prime factorization calculator, or compare 153 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.