Factors of 50
The factors of 50 are 1, 2, 5, 10, 25, and 50. In total, 50 has 6 factors. Its prime factorization is 2 × 5², and the sum of all its factors is 93.
All factors of 50
Here are all 6 factors of 50, listed from smallest to largest.
Factor pairs of 50
These 3 pairs of whole numbers each multiply to give 50.
Prime factorization of 50
Dividing 50 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 50 are 2, 5. To factorize any other number, use the prime factorization calculator.
Factor tree of 50
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 50
| Number of factors | 6 |
|---|---|
| Sum of factors | 93 |
| Sum of proper factors | 43 |
| Prime factorization | 2 × 5² |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 50 interesting
- 50 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.
- 50 is a deficient number: its proper factors sum to 43, which is 7 less than 50 itself.
How to find the factors of 50 yourself
Divide 50 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 √50 ≈ 7.07, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 5, 10, 25, 50. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 50.
Frequently asked questions about 50
What are the factors of 50?
Is 50 a prime number?
What is the prime factorization of 50?
What two numbers multiply to give 50?
What is the sum of the factors of 50?
Is 50 a perfect square?
What is the largest factor of 50 other than itself?
How many factors does 50 have?
Explore more
Try another number in the factor calculator, break 50 down further with the prime factorization calculator, or compare 50 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.