Q: What are the prime factors of the number 602,741,268?

 A: 2, 3, 16742813

Why are those the prime factors of the number 602,741,268?

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 602,741,268

602,741,268
Factor Arrows
2301,370,634
Factor Arrows
2150,685,317
Factor Arrows
350,228,439
Factor Arrows
316,742,813

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, 16742813

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 16,742,813 = 602,741,268

This can also be written as 22 x 32 x 16,742,8131 = 602,741,268

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


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