Q: What are the prime factors of the number 90,558,522?

 A: 2, 3, 19, 264791

Why are those the prime factors of the number 90,558,522?

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 90,558,522

90,558,522
Factor Arrows
245,279,261
Factor Arrows
315,093,087
Factor Arrows
35,031,029
Factor Arrows
19264,791

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, 19, 264791

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 19 x 264,791 = 90,558,522

This can also be written as 21 x 32 x 191 x 264,7911 = 90,558,522

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


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