Q: What are the prime factors of the number 36,875,475?

 A: 3, 5, 7, 13, 1801

Why are those the prime factors of the number 36,875,475?

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 36,875,475

36,875,475
Factor Arrows
312,291,825
Factor Arrows
34,097,275
Factor Arrows
5819,455
Factor Arrows
5163,891
Factor Arrows
723,413
Factor Arrows
131,801

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:

3, 5, 7, 13, 1801

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 7 x 13 x 1,801 = 36,875,475

This can also be written as 32 x 52 x 71 x 131 x 1,8011 = 36,875,475

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


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