Q: What are the prime factors of the number 109,560?

 A: 2, 3, 5, 11, 83

Why are those the prime factors of the number 109,560?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 109,560

109,560
Factor Arrows
254,780
Factor Arrows
227,390
Factor Arrows
213,695
Factor Arrows
34,565
Factor Arrows
5913
Factor Arrows
1183

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 5, 11, 83

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 11 x 83 = 109,560

This can also be written as 23 x 31 x 51 x 111 x 831 = 109,560

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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