Factor Calculator

Factors of 344

The factors of 344 are 1, 2, 4, 8, 43, 86, 172, and 344. In total, 344 has 8 factors. Its prime factorization is 2³ × 43, and the sum of all its factors is 660.

All factors of 344

Here are all 8 factors of 344, listed from smallest to largest.

12484386172344

Factor pairs of 344

These 4 pairs of whole numbers each multiply to give 344.

1 × 344 = 344
2 × 172 = 344
4 × 86 = 344
8 × 43 = 344

Prime factorization of 344

Dividing 344 by the smallest prime at each step gives its prime factorization:

344 ÷ 2 = 172
172 ÷ 2 = 86
86 ÷ 2 = 43
43 ÷ 43 = 1
Result: 344 = 2 × 2 × 2 × 43 = 2³ × 43

The distinct prime factors of 344 are 2, 43. To factorize any other number, use the prime factorization calculator.

Factor tree of 344

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

Factor tree of 3443442172286243
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 344

Number of factors8
Sum of factors660
Sum of proper factors316
Prime factorization2³ × 43
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 344 interesting

  • 344 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.
  • 344 is a deficient number: its proper factors sum to 316, which is 28 less than 344 itself.

How to find the factors of 344 yourself

Divide 344 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 √344 ≈ 18.55, because every factor above that pairs with one below it.

344 ÷ 1 = 344 ✓
344 ÷ 2 = 172 ✓
344 ÷ 4 = 86 ✓
344 ÷ 8 = 43 ✓

Reading both columns gives every factor: 1, 2, 4, 8, 43, 86, 172, 344. The factor calculator does this automatically for any number.

Numbers mathematically connected to 344.

Frequently asked questions about 344

What are the factors of 344?

The factors of 344 are 1, 2, 4, 8, 43, 86, 172, and 344. That is 8 factors in total, counting both 1 and 344.

Is 344 a prime number?

No, 344 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 344 is also divisible by 2.

What is the prime factorization of 344?

The prime factorization of 344 is 2³ × 43. Written out in full: 2 × 2 × 2 × 43 = 344. Its distinct prime factors are 2, 43.

What two numbers multiply to give 344?

There are 4 pairs of whole numbers that multiply to 344: 1 × 344, 2 × 172, 4 × 86, 8 × 43.

What is the sum of the factors of 344?

Adding all the factors of 344 together gives 660. Excluding 344 itself, the proper factors sum to 316.

Is 344 a perfect square?

No, 344 is not a perfect square. There is no whole number that multiplies by itself to give 344. The nearest perfect squares are 324 and 361.

What is the largest factor of 344 other than itself?

The largest factor of 344 apart from 344 itself is 172, since 344 ÷ 172 = 2.

How many factors does 344 have?

344 has 8 factors: 1, 2, 4, 8, 43, 86, 172, and 344. You can verify this from the prime factorization 2³ × 43: add 1 to each exponent and multiply, giving 4 × 2 = 8.

Explore more

Try another number in the factor calculator, break 344 down further with the prime factorization calculator, or compare 344 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.