Q: What are the prime factors of the number 188,203,116?

 A: 2, 3, 1669, 9397

Why are those the prime factors of the number 188,203,116?

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 188,203,116

188,203,116
Factor Arrows
294,101,558
Factor Arrows
247,050,779
Factor Arrows
315,683,593
Factor Arrows
1,6699,397

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, 1669, 9397

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 1,669 x 9,397 = 188,203,116

This can also be written as 22 x 31 x 1,6691 x 9,3971 = 188,203,116

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


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