Q: What are the prime factors of the number 178,344,018?

 A: 2, 3, 122321

Why are those the prime factors of the number 178,344,018?

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 178,344,018

178,344,018
Factor Arrows
289,172,009
Factor Arrows
329,724,003
Factor Arrows
39,908,001
Factor Arrows
33,302,667
Factor Arrows
31,100,889
Factor Arrows
3366,963
Factor Arrows
3122,321

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, 122321

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 122,321 = 178,344,018

This can also be written as 21 x 36 x 122,3211 = 178,344,018

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


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