Q: What are the prime factors of the number 155,002,032?

 A: 2, 3, 599

Why are those the prime factors of the number 155,002,032?

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 155,002,032

155,002,032
Factor Arrows
277,501,016
Factor Arrows
238,750,508
Factor Arrows
219,375,254
Factor Arrows
29,687,627
Factor Arrows
33,229,209
Factor Arrows
31,076,403
Factor Arrows
3358,801
Factor Arrows
599599

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, 599

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 599 x 599 = 155,002,032

This can also be written as 24 x 33 x 5992 = 155,002,032

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


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