Q: What are the prime factors of the number 208,131,348?

 A: 2, 3, 97, 178807

Why are those the prime factors of the number 208,131,348?

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 208,131,348

208,131,348
Factor Arrows
2104,065,674
Factor Arrows
252,032,837
Factor Arrows
317,344,279
Factor Arrows
97178,807

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, 97, 178807

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 97 x 178,807 = 208,131,348

This can also be written as 22 x 31 x 971 x 178,8071 = 208,131,348

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


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