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.
Factor pairs of 152
These 4 pairs of whole numbers each multiply to give 152.
Prime factorization of 152
Dividing 152 by the smallest prime at each step gives its prime factorization:
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.
Properties of 152
| Number of factors | 8 |
|---|---|
| Sum of factors | 300 |
| Sum of proper factors | 148 |
| Prime factorization | 2³ × 19 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
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 √152 ≈ 12.33, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 19, 38, 76, 152. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 152.
Frequently asked questions about 152
What are the factors of 152?
Is 152 a prime number?
What is the prime factorization of 152?
What two numbers multiply to give 152?
What is the sum of the factors of 152?
Is 152 a perfect square?
What is the largest factor of 152 other than itself?
How many factors does 152 have?
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.