Q: What are the prime factors of the number 602,741,364?

 A: 2, 3, 137, 366631

Why are those the prime factors of the number 602,741,364?

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 602,741,364

602,741,364
Factor Arrows
2301,370,682
Factor Arrows
2150,685,341
Factor Arrows
350,228,447
Factor Arrows
137366,631

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, 137, 366631

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 137 x 366,631 = 602,741,364

This can also be written as 22 x 31 x 1371 x 366,6311 = 602,741,364

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


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