Factor Calculator

Factors of 136

The factors of 136 are 1, 2, 4, 8, 17, 34, 68, and 136. In total, 136 has 8 factors. Its prime factorization is 2³ × 17, and the sum of all its factors is 270.

All factors of 136

Here are all 8 factors of 136, listed from smallest to largest.

1248173468136

Factor pairs of 136

These 4 pairs of whole numbers each multiply to give 136.

1 × 136 = 136
2 × 68 = 136
4 × 34 = 136
8 × 17 = 136

Prime factorization of 136

Dividing 136 by the smallest prime at each step gives its prime factorization:

136 ÷ 2 = 68
68 ÷ 2 = 34
34 ÷ 2 = 17
17 ÷ 17 = 1
Result: 136 = 2 × 2 × 2 × 17 = 2³ × 17

The distinct prime factors of 136 are 2, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 136

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

Factor tree of 136136268234217
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 136

Number of factors8
Sum of factors270
Sum of proper factors134
Prime factorization2³ × 17
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 136 interesting

  • 136 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 136 is a deficient number: its proper factors sum to 134, which is 2 less than 136 itself.
  • 136 is a triangular number — it is the sum of the first 16 whole numbers (1 + 2 + … + 16 = 136).

How to find the factors of 136 yourself

Divide 136 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 √13611.66, because every factor above that pairs with one below it.

136 ÷ 1 = 136
136 ÷ 2 = 68
136 ÷ 4 = 34
136 ÷ 8 = 17

Reading both columns gives every factor: 1, 2, 4, 8, 17, 34, 68, 136. The factor calculator does this automatically for any number.

Frequently asked questions about 136

What are the factors of 136?

The factors of 136 are 1, 2, 4, 8, 17, 34, 68, and 136. That is 8 factors in total, counting both 1 and 136.

Is 136 a prime number?

No, 136 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 136 is also divisible by 2.

What is the prime factorization of 136?

The prime factorization of 136 is 2³ × 17. Written out in full: 2 × 2 × 2 × 17 = 136. Its distinct prime factors are 2, 17.

What two numbers multiply to give 136?

There are 4 pairs of whole numbers that multiply to 136: 1 × 136, 2 × 68, 4 × 34, 8 × 17.

What is the sum of the factors of 136?

Adding all the factors of 136 together gives 270. Excluding 136 itself, the proper factors sum to 134.

Is 136 a perfect square?

No, 136 is not a perfect square. There is no whole number that multiplies by itself to give 136. The nearest perfect squares are 121 and 144.

What is the largest factor of 136 other than itself?

The largest factor of 136 apart from 136 itself is 68, since 136 ÷ 68 = 2.

How many factors does 136 have?

136 has 8 factors: 1, 2, 4, 8, 17, 34, 68, and 136. You can verify this from the prime factorization 2³ × 17: add 1 to each exponent and multiply, giving 4 × 2 = 8.

Explore more

Try another number in the factor calculator, break 136 down further with the prime factorization calculator, or compare 136 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.