Factors of 901
The factors of 901 are 1, 17, 53, and 901. In total, 901 has 4 factors. Its prime factorization is 17 × 53, and the sum of all its factors is 972.
All factors of 901
Here are all 4 factors of 901, listed from smallest to largest.
Factor pairs of 901
These 2 pairs of whole numbers each multiply to give 901.
Prime factorization of 901
Dividing 901 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 901 are 17, 53. To factorize any other number, use the prime factorization calculator.
Factor tree of 901
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 901
| Number of factors | 4 |
|---|---|
| Sum of factors | 972 |
| Sum of proper factors | 71 |
| Prime factorization | 17 × 53 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 901 interesting
- 901 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.
- 901 is a deficient number: its proper factors sum to 71, which is 830 less than 901 itself.
How to find the factors of 901 yourself
Divide 901 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 √901 ≈ 30.02, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 17, 53, 901. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 901.
Frequently asked questions about 901
What are the factors of 901?
Is 901 a prime number?
What is the prime factorization of 901?
What two numbers multiply to give 901?
What is the sum of the factors of 901?
Is 901 a perfect square?
What is the largest factor of 901 other than itself?
How many factors does 901 have?
Explore more
Try another number in the factor calculator, break 901 down further with the prime factorization calculator, or compare 901 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.