Factor Calculator

Factors of 348

The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, and 348. In total, 348 has 12 factors. Its prime factorization is 2² × 3 × 29, and the sum of all its factors is 840.

All factors of 348

Here are all 12 factors of 348, listed from smallest to largest.

1234612295887116174348

Factor pairs of 348

These 6 pairs of whole numbers each multiply to give 348.

1 × 348 = 348
2 × 174 = 348
3 × 116 = 348
4 × 87 = 348
6 × 58 = 348
12 × 29 = 348

Prime factorization of 348

Dividing 348 by the smallest prime at each step gives its prime factorization:

348 ÷ 2 = 174
174 ÷ 2 = 87
87 ÷ 3 = 29
29 ÷ 29 = 1
Result: 348 = 2 × 2 × 3 × 29 = 2² × 3 × 29

The distinct prime factors of 348 are 2, 3, 29. To factorize any other number, use the prime factorization calculator.

Factor tree of 348

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

Factor tree of 3483482174287329
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 348

Number of factors12
Sum of factors840
Sum of proper factors492
Prime factorization2² × 3 × 29
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 348 interesting

  • 348 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.
  • 348 is an abundant number: its proper factors sum to 492, which is 144 more than 348 itself.
  • 348 has 3 distinct prime factors (2, 3, 29), which is why it has so many divisors.

How to find the factors of 348 yourself

Divide 348 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 √348 ≈ 18.65, because every factor above that pairs with one below it.

348 ÷ 1 = 348 ✓
348 ÷ 2 = 174 ✓
348 ÷ 3 = 116 ✓
348 ÷ 4 = 87 ✓
348 ÷ 6 = 58 ✓
348 ÷ 12 = 29 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348. The factor calculator does this automatically for any number.

Numbers mathematically connected to 348.

Frequently asked questions about 348

What are the factors of 348?

The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, and 348. That is 12 factors in total, counting both 1 and 348.

Is 348 a prime number?

No, 348 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 348 is also divisible by 2.

What is the prime factorization of 348?

The prime factorization of 348 is 2² × 3 × 29. Written out in full: 2 × 2 × 3 × 29 = 348. Its distinct prime factors are 2, 3, 29.

What two numbers multiply to give 348?

There are 6 pairs of whole numbers that multiply to 348: 1 × 348, 2 × 174, 3 × 116, 4 × 87, 6 × 58, 12 × 29.

What is the sum of the factors of 348?

Adding all the factors of 348 together gives 840. Excluding 348 itself, the proper factors sum to 492.

Is 348 a perfect square?

No, 348 is not a perfect square. There is no whole number that multiplies by itself to give 348. The nearest perfect squares are 324 and 361.

What is the largest factor of 348 other than itself?

The largest factor of 348 apart from 348 itself is 174, since 348 ÷ 174 = 2.

How many factors does 348 have?

348 has 12 factors: 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, and 348. You can verify this from the prime factorization 2² × 3 × 29: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 348 down further with the prime factorization calculator, or compare 348 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.