Factor Calculator

Factors of 341

The factors of 341 are 1, 11, 31, and 341. In total, 341 has 4 factors. Its prime factorization is 11 × 31, and the sum of all its factors is 384.

All factors of 341

Here are all 4 factors of 341, listed from smallest to largest.

11131341

Factor pairs of 341

These 2 pairs of whole numbers each multiply to give 341.

1 × 341 = 341
11 × 31 = 341

Prime factorization of 341

Dividing 341 by the smallest prime at each step gives its prime factorization:

341 ÷ 11 = 31
31 ÷ 31 = 1
Result: 341 = 11 × 31 = 11 × 31

The distinct prime factors of 341 are 11, 31. To factorize any other number, use the prime factorization calculator.

Factor tree of 341

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

Factor tree of 3413411131
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 341

Number of factors4
Sum of factors384
Sum of proper factors43
Prime factorization11 × 31
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 341 interesting

  • 341 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 341 is a deficient number: its proper factors sum to 43, which is 298 less than 341 itself.

How to find the factors of 341 yourself

Divide 341 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 √34118.47, because every factor above that pairs with one below it.

341 ÷ 1 = 341
341 ÷ 11 = 31

Reading both columns gives every factor: 1, 11, 31, 341. The factor calculator does this automatically for any number.

Frequently asked questions about 341

What are the factors of 341?

The factors of 341 are 1, 11, 31, and 341. That is 4 factors in total, counting both 1 and 341.

Is 341 a prime number?

No, 341 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 341 is also divisible by 11.

What is the prime factorization of 341?

The prime factorization of 341 is 11 × 31. Written out in full: 11 × 31 = 341. Its distinct prime factors are 11, 31.

What two numbers multiply to give 341?

There are 2 pairs of whole numbers that multiply to 341: 1 × 341, 11 × 31.

What is the sum of the factors of 341?

Adding all the factors of 341 together gives 384. Excluding 341 itself, the proper factors sum to 43.

Is 341 a perfect square?

No, 341 is not a perfect square. There is no whole number that multiplies by itself to give 341. The nearest perfect squares are 324 and 361.

What is the largest factor of 341 other than itself?

The largest factor of 341 apart from 341 itself is 31, since 341 ÷ 31 = 11.

How many factors does 341 have?

341 has 4 factors: 1, 11, 31, and 341. You can verify this from the prime factorization 11 × 31: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 341 down further with the prime factorization calculator, or compare 341 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.