Factor Calculator

Factors of 376

The factors of 376 are 1, 2, 4, 8, 47, 94, 188, and 376. In total, 376 has 8 factors. Its prime factorization is 2³ × 47, and the sum of all its factors is 720.

All factors of 376

Here are all 8 factors of 376, listed from smallest to largest.

12484794188376

Factor pairs of 376

These 4 pairs of whole numbers each multiply to give 376.

1 × 376 = 376
2 × 188 = 376
4 × 94 = 376
8 × 47 = 376

Prime factorization of 376

Dividing 376 by the smallest prime at each step gives its prime factorization:

376 ÷ 2 = 188
188 ÷ 2 = 94
94 ÷ 2 = 47
47 ÷ 47 = 1
Result: 376 = 2 × 2 × 2 × 47 = 2³ × 47

The distinct prime factors of 376 are 2, 47. To factorize any other number, use the prime factorization calculator.

Factor tree of 376

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 3763762188294247
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 376

Number of factors8
Sum of factors720
Sum of proper factors344
Prime factorization2³ × 47
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 376 interesting

  • 376 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.
  • 376 is a deficient number: its proper factors sum to 344, which is 32 less than 376 itself.

How to find the factors of 376 yourself

Divide 376 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 √376 ≈ 19.39, because every factor above that pairs with one below it.

376 ÷ 1 = 376 ✓
376 ÷ 2 = 188 ✓
376 ÷ 4 = 94 ✓
376 ÷ 8 = 47 ✓

Reading both columns gives every factor: 1, 2, 4, 8, 47, 94, 188, 376. The factor calculator does this automatically for any number.

Numbers mathematically connected to 376.

Frequently asked questions about 376

What are the factors of 376?

The factors of 376 are 1, 2, 4, 8, 47, 94, 188, and 376. That is 8 factors in total, counting both 1 and 376.

Is 376 a prime number?

No, 376 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 376 is also divisible by 2.

What is the prime factorization of 376?

The prime factorization of 376 is 2³ × 47. Written out in full: 2 × 2 × 2 × 47 = 376. Its distinct prime factors are 2, 47.

What two numbers multiply to give 376?

There are 4 pairs of whole numbers that multiply to 376: 1 × 376, 2 × 188, 4 × 94, 8 × 47.

What is the sum of the factors of 376?

Adding all the factors of 376 together gives 720. Excluding 376 itself, the proper factors sum to 344.

Is 376 a perfect square?

No, 376 is not a perfect square. There is no whole number that multiplies by itself to give 376. The nearest perfect squares are 361 and 400.

What is the largest factor of 376 other than itself?

The largest factor of 376 apart from 376 itself is 188, since 376 ÷ 188 = 2.

How many factors does 376 have?

376 has 8 factors: 1, 2, 4, 8, 47, 94, 188, and 376. You can verify this from the prime factorization 2³ × 47: add 1 to each exponent and multiply, giving 4 × 2 = 8.

Explore more

Try another number in the factor calculator, break 376 down further with the prime factorization calculator, or compare 376 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.