Q: What are the prime factors of the number 85,333,059?

 A: 3, 7, 23, 47, 179

Why are those the prime factors of the number 85,333,059?

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 85,333,059

85,333,059
Factor Arrows
328,444,353
Factor Arrows
39,481,451
Factor Arrows
71,354,493
Factor Arrows
7193,499
Factor Arrows
238,413
Factor Arrows
47179

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:

3, 7, 23, 47, 179

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 7 x 23 x 47 x 179 = 85,333,059

This can also be written as 32 x 72 x 231 x 471 x 1791 = 85,333,059

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


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