Q: What are the prime factors of the number 13,534,240?

 A: 2, 5, 84589

Why are those the prime factors of the number 13,534,240?

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 13,534,240

13,534,240
Factor Arrows
26,767,120
Factor Arrows
23,383,560
Factor Arrows
21,691,780
Factor Arrows
2845,890
Factor Arrows
2422,945
Factor Arrows
584,589

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, 84589

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 84,589 = 13,534,240

This can also be written as 25 x 51 x 84,5891 = 13,534,240

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


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