Factor Calculator

Factors of 342

The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, and 342. In total, 342 has 12 factors. Its prime factorization is 2 × 3² × 19, and the sum of all its factors is 780.

All factors of 342

Here are all 12 factors of 342, listed from smallest to largest.

1236918193857114171342

Factor pairs of 342

These 6 pairs of whole numbers each multiply to give 342.

1 × 342 = 342
2 × 171 = 342
3 × 114 = 342
6 × 57 = 342
9 × 38 = 342
18 × 19 = 342

Prime factorization of 342

Dividing 342 by the smallest prime at each step gives its prime factorization:

342 ÷ 2 = 171
171 ÷ 3 = 57
57 ÷ 3 = 19
19 ÷ 19 = 1
Result: 342 = 2 × 3 × 3 × 19 = 2 × 3² × 19

The distinct prime factors of 342 are 2, 3, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 342

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

Factor tree of 3423422171357319
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 342

Number of factors12
Sum of factors780
Sum of proper factors438
Prime factorization2 × 3² × 19
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 342 interesting

  • 342 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 342 is an abundant number: its proper factors sum to 438, which is 96 more than 342 itself.
  • 342 has 3 distinct prime factors (2, 3, 19), which is why it has so many divisors.

How to find the factors of 342 yourself

Divide 342 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 √342 ≈ 18.49, because every factor above that pairs with one below it.

342 ÷ 1 = 342 ✓
342 ÷ 2 = 171 ✓
342 ÷ 3 = 114 ✓
342 ÷ 6 = 57 ✓
342 ÷ 9 = 38 ✓
342 ÷ 18 = 19 ✓

Reading both columns gives every factor: 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342. The factor calculator does this automatically for any number.

Numbers mathematically connected to 342.

Frequently asked questions about 342

What are the factors of 342?

The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, and 342. That is 12 factors in total, counting both 1 and 342.

Is 342 a prime number?

No, 342 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 342 is also divisible by 2.

What is the prime factorization of 342?

The prime factorization of 342 is 2 × 3² × 19. Written out in full: 2 × 3 × 3 × 19 = 342. Its distinct prime factors are 2, 3, 19.

What two numbers multiply to give 342?

There are 6 pairs of whole numbers that multiply to 342: 1 × 342, 2 × 171, 3 × 114, 6 × 57, 9 × 38, 18 × 19.

What is the sum of the factors of 342?

Adding all the factors of 342 together gives 780. Excluding 342 itself, the proper factors sum to 438.

Is 342 a perfect square?

No, 342 is not a perfect square. There is no whole number that multiplies by itself to give 342. The nearest perfect squares are 324 and 361.

What is the largest factor of 342 other than itself?

The largest factor of 342 apart from 342 itself is 171, since 342 ÷ 171 = 2.

How many factors does 342 have?

342 has 12 factors: 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, and 342. You can verify this from the prime factorization 2 × 3² × 19: add 1 to each exponent and multiply, giving 2 × 3 × 2 = 12.

Explore more

Try another number in the factor calculator, break 342 down further with the prime factorization calculator, or compare 342 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.