Q: What are the prime factors of the number 2,715,888?

 A: 2, 3, 7, 59, 137

Why are those the prime factors of the number 2,715,888?

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 2,715,888

2,715,888
Factor Arrows
21,357,944
Factor Arrows
2678,972
Factor Arrows
2339,486
Factor Arrows
2169,743
Factor Arrows
356,581
Factor Arrows
78,083
Factor Arrows
59137

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, 7, 59, 137

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 59 x 137 = 2,715,888

This can also be written as 24 x 31 x 71 x 591 x 1371 = 2,715,888

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


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