Factor Calculator

Factors of 11

The factors of 11 are 1 and 11. Since 11 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 12, and its prime factorization is simply 11 itself.

All factors of 11

Here are all 2 factors of 11, listed from smallest to largest.

111

Factor pairs of 11

There is only one factor pair for 11, because it is prime.

1 × 11 = 11

Prime factorization of 11

11 is a prime number, so it cannot be broken down further. Its prime factorization is simply 11.

Properties of 11

Number of factors2
Sum of factors12
Sum of proper factors1
Prime factorization11
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 11 interesting

  • 11 is a prime number, so its only factors are 1 and 11. It cannot be split into a product of two smaller whole numbers.
  • Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.

How to find the factors of 11 yourself

Divide 11 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 √11 ≈ 3.32, because every factor above that pairs with one below it.

11 ÷ 1 = 11 ✓

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

Numbers mathematically connected to 11.

Frequently asked questions about 11

What are the factors of 11?

The factors of 11 are 1 and 11. That is 2 factors in total, counting both 1 and 11.

Is 11 a prime number?

Yes, 11 is a prime number. It has exactly two factors: 1 and 11. No other whole number divides it evenly.

What is the prime factorization of 11?

11 is already prime, so its prime factorization is simply 11. It cannot be broken down any further.

What two numbers multiply to give 11?

There is 1 pair of whole numbers that multiply to 11: 1 × 11.

What is the sum of the factors of 11?

Adding all the factors of 11 together gives 12. Excluding 11 itself, the proper factors sum to 1.

Is 11 a perfect square?

No, 11 is not a perfect square. There is no whole number that multiplies by itself to give 11. The nearest perfect squares are 9 and 16.

What is the largest factor of 11 other than itself?

The largest factor of 11 apart from 11 itself is 1, since 11 ÷ 1 = 11.

How many factors does 11 have?

11 has 2 factors: 1 and 11.

Explore more

Try another number in the factor calculator, break 11 down further with the prime factorization calculator, or compare 11 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.