Q: What are the prime factors of the number 2,487,436?

 A: 2, 7, 37

Why are those the prime factors of the number 2,487,436?

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 2,487,436

2,487,436
Factor Arrows
21,243,718
Factor Arrows
2621,859
Factor Arrows
788,837
Factor Arrows
712,691
Factor Arrows
71,813
Factor Arrows
7259
Factor Arrows
737

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, 7, 37

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 7 x 7 x 7 x 37 = 2,487,436

This can also be written as 22 x 75 x 371 = 2,487,436

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


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