Factor Calculator

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.

1211172234187374

Factor pairs of 374

These 4 pairs of whole numbers each multiply to give 374.

1 × 374 = 374
2 × 187 = 374
11 × 34 = 374
17 × 22 = 374

Prime factorization of 374

Dividing 374 by the smallest prime at each step gives its prime factorization:

374 ÷ 2 = 187
187 ÷ 11 = 17
17 ÷ 17 = 1
Result: 374 = 2 × 11 × 17 = 2 × 11 × 17

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.

Factor tree of 37437421871117
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 374

Number of factors8
Sum of factors648
Sum of proper factors274
Prime factorization2 × 11 × 17
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

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 √37419.34, because every factor above that pairs with one below it.

374 ÷ 1 = 374
374 ÷ 2 = 187
374 ÷ 11 = 34
374 ÷ 17 = 22

Reading both columns gives every factor: 1, 2, 11, 17, 22, 34, 187, 374. The factor calculator does this automatically for any number.

Frequently asked questions about 374

What are the factors of 374?

The factors of 374 are 1, 2, 11, 17, 22, 34, 187, and 374. That is 8 factors in total, counting both 1 and 374.

Is 374 a prime number?

No, 374 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 374 is also divisible by 2.

What is the prime factorization of 374?

The prime factorization of 374 is 2 × 11 × 17. Written out in full: 2 × 11 × 17 = 374. Its distinct prime factors are 2, 11, 17.

What two numbers multiply to give 374?

There are 4 pairs of whole numbers that multiply to 374: 1 × 374, 2 × 187, 11 × 34, 17 × 22.

What is the sum of the factors of 374?

Adding all the factors of 374 together gives 648. Excluding 374 itself, the proper factors sum to 274.

Is 374 a perfect square?

No, 374 is not a perfect square. There is no whole number that multiplies by itself to give 374. The nearest perfect squares are 361 and 400.

What is the largest factor of 374 other than itself?

The largest factor of 374 apart from 374 itself is 187, since 374 ÷ 187 = 2.

How many factors does 374 have?

374 has 8 factors: 1, 2, 11, 17, 22, 34, 187, and 374. You can verify this from the prime factorization 2 × 11 × 17: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

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.