Q: What are the prime factors of the number 602,111,216?

 A: 2, 7, 19, 83, 487

Why are those the prime factors of the number 602,111,216?

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 602,111,216

602,111,216
Factor Arrows
2301,055,608
Factor Arrows
2150,527,804
Factor Arrows
275,263,902
Factor Arrows
237,631,951
Factor Arrows
75,375,993
Factor Arrows
7767,999
Factor Arrows
1940,421
Factor Arrows
83487

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, 19, 83, 487

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 7 x 19 x 83 x 487 = 602,111,216

This can also be written as 24 x 72 x 191 x 831 x 4871 = 602,111,216

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


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