Factor Calculator

Factors of 368

The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, and 368. In total, 368 has 10 factors. Its prime factorization is 2⁴ × 23, and the sum of all its factors is 744.

All factors of 368

Here are all 10 factors of 368, listed from smallest to largest.

124816234692184368

Factor pairs of 368

These 5 pairs of whole numbers each multiply to give 368.

1 × 368 = 368
2 × 184 = 368
4 × 92 = 368
8 × 46 = 368
16 × 23 = 368

Prime factorization of 368

Dividing 368 by the smallest prime at each step gives its prime factorization:

368 ÷ 2 = 184
184 ÷ 2 = 92
92 ÷ 2 = 46
46 ÷ 2 = 23
23 ÷ 23 = 1
Result: 368 = 2 × 2 × 2 × 2 × 23 = 2⁴ × 23

The distinct prime factors of 368 are 2, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 368

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

Factor tree of 3683682184292246223
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 368

Number of factors10
Sum of factors744
Sum of proper factors376
Prime factorization2⁴ × 23
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 368 interesting

  • 368 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
  • 368 is an abundant number: its proper factors sum to 376, which is 8 more than 368 itself.

How to find the factors of 368 yourself

Divide 368 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 √368 ≈ 19.18, because every factor above that pairs with one below it.

368 ÷ 1 = 368 ✓
368 ÷ 2 = 184 ✓
368 ÷ 4 = 92 ✓
368 ÷ 8 = 46 ✓
368 ÷ 16 = 23 ✓

Reading both columns gives every factor: 1, 2, 4, 8, 16, 23, 46, 92, 184, 368. The factor calculator does this automatically for any number.

Numbers mathematically connected to 368.

Frequently asked questions about 368

What are the factors of 368?

The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, and 368. That is 10 factors in total, counting both 1 and 368.

Is 368 a prime number?

No, 368 is not prime — it is a composite number with 10 factors. A prime number has exactly two factors, but 368 is also divisible by 2.

What is the prime factorization of 368?

The prime factorization of 368 is 2⁴ × 23. Written out in full: 2 × 2 × 2 × 2 × 23 = 368. Its distinct prime factors are 2, 23.

What two numbers multiply to give 368?

There are 5 pairs of whole numbers that multiply to 368: 1 × 368, 2 × 184, 4 × 92, 8 × 46, 16 × 23.

What is the sum of the factors of 368?

Adding all the factors of 368 together gives 744. Excluding 368 itself, the proper factors sum to 376.

Is 368 a perfect square?

No, 368 is not a perfect square. There is no whole number that multiplies by itself to give 368. The nearest perfect squares are 361 and 400.

What is the largest factor of 368 other than itself?

The largest factor of 368 apart from 368 itself is 184, since 368 ÷ 184 = 2.

How many factors does 368 have?

368 has 10 factors: 1, 2, 4, 8, 16, 23, 46, 92, 184, and 368. You can verify this from the prime factorization 2⁴ × 23: add 1 to each exponent and multiply, giving 5 × 2 = 10.

Explore more

Try another number in the factor calculator, break 368 down further with the prime factorization calculator, or compare 368 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.