Factor Calculator

Factors of 155

The factors of 155 are 1, 5, 31, and 155. In total, 155 has 4 factors. Its prime factorization is 5 × 31, and the sum of all its factors is 192.

All factors of 155

Here are all 4 factors of 155, listed from smallest to largest.

1531155

Factor pairs of 155

These 2 pairs of whole numbers each multiply to give 155.

1 × 155 = 155
5 × 31 = 155

Prime factorization of 155

Dividing 155 by the smallest prime at each step gives its prime factorization:

155 ÷ 5 = 31
31 ÷ 31 = 1
Result: 155 = 5 × 31 = 5 × 31

The distinct prime factors of 155 are 5, 31. To factorize any other number, use the prime factorization calculator.

Factor tree of 155

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

Factor tree of 155155531
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 155

Number of factors4
Sum of factors192
Sum of proper factors37
Prime factorization5 × 31
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 155 interesting

  • 155 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.
  • 155 is a deficient number: its proper factors sum to 37, which is 118 less than 155 itself.

How to find the factors of 155 yourself

Divide 155 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 √15512.45, because every factor above that pairs with one below it.

155 ÷ 1 = 155
155 ÷ 5 = 31

Reading both columns gives every factor: 1, 5, 31, 155. The factor calculator does this automatically for any number.

Frequently asked questions about 155

What are the factors of 155?

The factors of 155 are 1, 5, 31, and 155. That is 4 factors in total, counting both 1 and 155.

Is 155 a prime number?

No, 155 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 155 is also divisible by 5.

What is the prime factorization of 155?

The prime factorization of 155 is 5 × 31. Written out in full: 5 × 31 = 155. Its distinct prime factors are 5, 31.

What two numbers multiply to give 155?

There are 2 pairs of whole numbers that multiply to 155: 1 × 155, 5 × 31.

What is the sum of the factors of 155?

Adding all the factors of 155 together gives 192. Excluding 155 itself, the proper factors sum to 37.

Is 155 a perfect square?

No, 155 is not a perfect square. There is no whole number that multiplies by itself to give 155. The nearest perfect squares are 144 and 169.

What is the largest factor of 155 other than itself?

The largest factor of 155 apart from 155 itself is 31, since 155 ÷ 31 = 5.

How many factors does 155 have?

155 has 4 factors: 1, 5, 31, and 155. You can verify this from the prime factorization 5 × 31: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 155 down further with the prime factorization calculator, or compare 155 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.