Q: What are the prime factors of the number 602,060,432?

 A: 2, 1291, 29147

Why are those the prime factors of the number 602,060,432?

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 602,060,432

602,060,432
Factor Arrows
2301,030,216
Factor Arrows
2150,515,108
Factor Arrows
275,257,554
Factor Arrows
237,628,777
Factor Arrows
1,29129,147

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, 1291, 29147

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 1,291 x 29,147 = 602,060,432

This can also be written as 24 x 1,2911 x 29,1471 = 602,060,432

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


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