Factors of 109

What are the Factors of 109?


1, 109 as Factors

or

1×109 as Factor Pairs

Formula How to

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How to find Factors of 109? The factors of a number are the positive integers that divide evenly into that number. In other words, they're the numbers that can be multiplied together to give the original number.

The number of factors a positive integer has is related to its prime factorization. For example, a number that is the product of two distinct primes has exactly three factors: 1, the number itself, and one of the primes. On the other hand, a number that is a perfect square has an odd number of factors, because it has duplicates of its prime factors.

To find the factors of a number, you need to break that number down to its smallest prime number.

The quickest way to find the factors of a number is to divide it by the smallest prime number (bigger than 1) that goes into it evenly with no remainder. Continue this process with each number you get, until you reach 1.

For calculation, here's how to calculate Factors of 109 using the formula above, step by step trees are given below

Number Factor Pairs
104 1×104, 2×52, 4×26, 8×13
105 1×105, 3×35, 5×21, 7×15
106 1×106, 2×53
107 1×107
108 1×108, 2×54, 3×36, 4×27, 6×18, 9×12
109 1×109
110 10×11, 1×110, 2×55, 5×22
111 1×111, 3×37
112 1×112, 2×56, 4×28, 7×16, 8×14
113 1×113
114 1×114, 2×57, 3×38, 6×19

Factors of 109 are 1 and 109.

Factor Pairs of 109 are 1×109.

Yes! 109 is a prime number.

Nope! 109 is not a composite number.