Q: What are the prime factors of the number 85,611,904?

 A: 2, 7, 95549

Why are those the prime factors of the number 85,611,904?

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 85,611,904

85,611,904
Factor Arrows
242,805,952
Factor Arrows
221,402,976
Factor Arrows
210,701,488
Factor Arrows
25,350,744
Factor Arrows
22,675,372
Factor Arrows
21,337,686
Factor Arrows
2668,843
Factor Arrows
795,549

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, 7, 95549

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 95,549 = 85,611,904

This can also be written as 27 x 71 x 95,5491 = 85,611,904

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


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