Q: What are the prime factors of the number 13,699,120?

 A: 2, 5, 109, 1571

Why are those the prime factors of the number 13,699,120?

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 13,699,120

13,699,120
Factor Arrows
26,849,560
Factor Arrows
23,424,780
Factor Arrows
21,712,390
Factor Arrows
2856,195
Factor Arrows
5171,239
Factor Arrows
1091,571

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, 5, 109, 1571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 109 x 1,571 = 13,699,120

This can also be written as 24 x 51 x 1091 x 1,5711 = 13,699,120

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


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