Factors of 374
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, and 374. In total, 374 has 8 factors. Its prime factorization is 2 × 11 × 17, and the sum of all its factors is 648.
All factors of 374
Here are all 8 factors of 374, listed from smallest to largest.
Factor pairs of 374
These 4 pairs of whole numbers each multiply to give 374.
Prime factorization of 374
Dividing 374 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 374 are 2, 11, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 374
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 374
| Number of factors | 8 |
|---|---|
| Sum of factors | 648 |
| Sum of proper factors | 274 |
| Prime factorization | 2 × 11 × 17 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 374 interesting
- 374 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.
- 374 is a deficient number: its proper factors sum to 274, which is 100 less than 374 itself.
- 374 has 3 distinct prime factors (2, 11, 17), which is why it has so many divisors.
How to find the factors of 374 yourself
Divide 374 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 √374 ≈ 19.34, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 11, 17, 22, 34, 187, 374. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 374.
Frequently asked questions about 374
What are the factors of 374?
Is 374 a prime number?
What is the prime factorization of 374?
What two numbers multiply to give 374?
What is the sum of the factors of 374?
Is 374 a perfect square?
What is the largest factor of 374 other than itself?
How many factors does 374 have?
Explore more
Try another number in the factor calculator, break 374 down further with the prime factorization calculator, or compare 374 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.