Factors of 371
The factors of 371 are 1, 7, 53, and 371. In total, 371 has 4 factors. Its prime factorization is 7 × 53, and the sum of all its factors is 432.
All factors of 371
Here are all 4 factors of 371, listed from smallest to largest.
Factor pairs of 371
These 2 pairs of whole numbers each multiply to give 371.
Prime factorization of 371
Dividing 371 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 371 are 7, 53. To factorize any other number, use the prime factorization calculator.
Factor tree of 371
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 371
| Number of factors | 4 |
|---|---|
| Sum of factors | 432 |
| Sum of proper factors | 61 |
| Prime factorization | 7 × 53 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 371 interesting
- 371 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.
- 371 is a deficient number: its proper factors sum to 61, which is 310 less than 371 itself.
How to find the factors of 371 yourself
Divide 371 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 √371 ≈ 19.26, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 7, 53, 371. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 371.
Frequently asked questions about 371
What are the factors of 371?
Is 371 a prime number?
What is the prime factorization of 371?
What two numbers multiply to give 371?
What is the sum of the factors of 371?
Is 371 a perfect square?
What is the largest factor of 371 other than itself?
How many factors does 371 have?
Explore more
Try another number in the factor calculator, break 371 down further with the prime factorization calculator, or compare 371 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.