Q: What are the prime factors of the number 62,231,004?

 A: 2, 3, 11, 19, 919

Why are those the prime factors of the number 62,231,004?

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 62,231,004

62,231,004
Factor Arrows
231,115,502
Factor Arrows
215,557,751
Factor Arrows
35,185,917
Factor Arrows
31,728,639
Factor Arrows
3576,213
Factor Arrows
3192,071
Factor Arrows
1117,461
Factor Arrows
19919

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, 11, 19, 919

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 11 x 19 x 919 = 62,231,004

This can also be written as 22 x 34 x 111 x 191 x 9191 = 62,231,004

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


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