Factor Calculator

Factors of 291

The factors of 291 are 1, 3, 97, and 291. In total, 291 has 4 factors. Its prime factorization is 3 × 97, and the sum of all its factors is 392.

All factors of 291

Here are all 4 factors of 291, listed from smallest to largest.

1397291

Factor pairs of 291

These 2 pairs of whole numbers each multiply to give 291.

1 × 291 = 291
3 × 97 = 291

Prime factorization of 291

Dividing 291 by the smallest prime at each step gives its prime factorization:

291 ÷ 3 = 97
97 ÷ 97 = 1
Result: 291 = 3 × 97 = 3 × 97

The distinct prime factors of 291 are 3, 97. To factorize any other number, use the prime factorization calculator.

Factor tree of 291

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

Factor tree of 291291397
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 291

Number of factors4
Sum of factors392
Sum of proper factors101
Prime factorization3 × 97
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 291 interesting

  • 291 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.
  • 291 is a deficient number: its proper factors sum to 101, which is 190 less than 291 itself.

How to find the factors of 291 yourself

Divide 291 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 √29117.06, because every factor above that pairs with one below it.

291 ÷ 1 = 291
291 ÷ 3 = 97

Reading both columns gives every factor: 1, 3, 97, 291. The factor calculator does this automatically for any number.

Frequently asked questions about 291

What are the factors of 291?

The factors of 291 are 1, 3, 97, and 291. That is 4 factors in total, counting both 1 and 291.

Is 291 a prime number?

No, 291 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 291 is also divisible by 3.

What is the prime factorization of 291?

The prime factorization of 291 is 3 × 97. Written out in full: 3 × 97 = 291. Its distinct prime factors are 3, 97.

What two numbers multiply to give 291?

There are 2 pairs of whole numbers that multiply to 291: 1 × 291, 3 × 97.

What is the sum of the factors of 291?

Adding all the factors of 291 together gives 392. Excluding 291 itself, the proper factors sum to 101.

Is 291 a perfect square?

No, 291 is not a perfect square. There is no whole number that multiplies by itself to give 291. The nearest perfect squares are 289 and 324.

What is the largest factor of 291 other than itself?

The largest factor of 291 apart from 291 itself is 97, since 291 ÷ 97 = 3.

How many factors does 291 have?

291 has 4 factors: 1, 3, 97, and 291. You can verify this from the prime factorization 3 × 97: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 291 down further with the prime factorization calculator, or compare 291 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.