Q: What are the prime factors of the number 602,105,760?

 A: 2, 3, 5, 418129

Why are those the prime factors of the number 602,105,760?

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 602,105,760

602,105,760
Factor Arrows
2301,052,880
Factor Arrows
2150,526,440
Factor Arrows
275,263,220
Factor Arrows
237,631,610
Factor Arrows
218,815,805
Factor Arrows
36,271,935
Factor Arrows
32,090,645
Factor Arrows
5418,129

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, 5, 418129

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 418,129 = 602,105,760

This can also be written as 25 x 32 x 51 x 418,1291 = 602,105,760

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


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