Factor Calculator

Factors of 152

The factors of 152 are 1, 2, 4, 8, 19, 38, 76, and 152. In total, 152 has 8 factors. Its prime factorization is 2³ × 19, and the sum of all its factors is 300.

All factors of 152

Here are all 8 factors of 152, listed from smallest to largest.

1248193876152

Factor pairs of 152

These 4 pairs of whole numbers each multiply to give 152.

1 × 152 = 152
2 × 76 = 152
4 × 38 = 152
8 × 19 = 152

Prime factorization of 152

Dividing 152 by the smallest prime at each step gives its prime factorization:

152 ÷ 2 = 76
76 ÷ 2 = 38
38 ÷ 2 = 19
19 ÷ 19 = 1
Result: 152 = 2 × 2 × 2 × 19 = 2³ × 19

The distinct prime factors of 152 are 2, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 152

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

Factor tree of 152152276238219
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 152

Number of factors8
Sum of factors300
Sum of proper factors148
Prime factorization2³ × 19
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 152 interesting

  • 152 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.
  • 152 is a deficient number: its proper factors sum to 148, which is 4 less than 152 itself.

How to find the factors of 152 yourself

Divide 152 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 √15212.33, because every factor above that pairs with one below it.

152 ÷ 1 = 152
152 ÷ 2 = 76
152 ÷ 4 = 38
152 ÷ 8 = 19

Reading both columns gives every factor: 1, 2, 4, 8, 19, 38, 76, 152. The factor calculator does this automatically for any number.

Frequently asked questions about 152

What are the factors of 152?

The factors of 152 are 1, 2, 4, 8, 19, 38, 76, and 152. That is 8 factors in total, counting both 1 and 152.

Is 152 a prime number?

No, 152 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 152 is also divisible by 2.

What is the prime factorization of 152?

The prime factorization of 152 is 2³ × 19. Written out in full: 2 × 2 × 2 × 19 = 152. Its distinct prime factors are 2, 19.

What two numbers multiply to give 152?

There are 4 pairs of whole numbers that multiply to 152: 1 × 152, 2 × 76, 4 × 38, 8 × 19.

What is the sum of the factors of 152?

Adding all the factors of 152 together gives 300. Excluding 152 itself, the proper factors sum to 148.

Is 152 a perfect square?

No, 152 is not a perfect square. There is no whole number that multiplies by itself to give 152. The nearest perfect squares are 144 and 169.

What is the largest factor of 152 other than itself?

The largest factor of 152 apart from 152 itself is 76, since 152 ÷ 76 = 2.

How many factors does 152 have?

152 has 8 factors: 1, 2, 4, 8, 19, 38, 76, and 152. You can verify this from the prime factorization 2³ × 19: add 1 to each exponent and multiply, giving 4 × 2 = 8.

Explore more

Try another number in the factor calculator, break 152 down further with the prime factorization calculator, or compare 152 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.