Factor Calculator

Factors of 109

The factors of 109 are 1 and 109. Since 109 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 110, and its prime factorization is simply 109 itself.

All factors of 109

Here are all 2 factors of 109, listed from smallest to largest.

1109

Factor pairs of 109

There is only one factor pair for 109, because it is prime.

1 × 109 = 109

Prime factorization of 109

109 is a prime number, so it cannot be broken down further. Its prime factorization is simply 109.

Properties of 109

Number of factors2
Sum of factors110
Sum of proper factors1
Prime factorization109
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 109 interesting

  • 109 is a prime number, so its only factors are 1 and 109. 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 109 yourself

Divide 109 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 √109 ≈ 10.44, because every factor above that pairs with one below it.

109 ÷ 1 = 109 ✓

Reading both columns gives every factor: 1, 109. The factor calculator does this automatically for any number.

Numbers mathematically connected to 109.

Frequently asked questions about 109

What are the factors of 109?

The factors of 109 are 1 and 109. That is 2 factors in total, counting both 1 and 109.

Is 109 a prime number?

Yes, 109 is a prime number. It has exactly two factors: 1 and 109. No other whole number divides it evenly.

What is the prime factorization of 109?

109 is already prime, so its prime factorization is simply 109. It cannot be broken down any further.

What two numbers multiply to give 109?

There is 1 pair of whole numbers that multiply to 109: 1 × 109.

What is the sum of the factors of 109?

Adding all the factors of 109 together gives 110. Excluding 109 itself, the proper factors sum to 1.

Is 109 a perfect square?

No, 109 is not a perfect square. There is no whole number that multiplies by itself to give 109. The nearest perfect squares are 100 and 121.

What is the largest factor of 109 other than itself?

The largest factor of 109 apart from 109 itself is 1, since 109 ÷ 1 = 109.

How many factors does 109 have?

109 has 2 factors: 1 and 109.

Explore more

Try another number in the factor calculator, break 109 down further with the prime factorization calculator, or compare 109 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.