Q: What are the prime factors of the number 62,790,741?

 A: 3, 13, 17, 619

Why are those the prime factors of the number 62,790,741?

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 62,790,741

62,790,741
Factor Arrows
320,930,247
Factor Arrows
36,976,749
Factor Arrows
32,325,583
Factor Arrows
13178,891
Factor Arrows
1710,523
Factor Arrows
17619

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, 13, 17, 619

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13 x 17 x 17 x 619 = 62,790,741

This can also be written as 33 x 131 x 172 x 6191 = 62,790,741

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


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