Q: What are the prime factors of the number 168,052,158?

 A: 2, 3, 29, 35771

Why are those the prime factors of the number 168,052,158?

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 168,052,158

168,052,158
Factor Arrows
284,026,079
Factor Arrows
328,008,693
Factor Arrows
39,336,231
Factor Arrows
33,112,077
Factor Arrows
31,037,359
Factor Arrows
2935,771

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, 29, 35771

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 29 x 35,771 = 168,052,158

This can also be written as 21 x 34 x 291 x 35,7711 = 168,052,158

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


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