Q: What are the prime factors of the number 94,787,904?

 A: 2, 3, 383, 1289

Why are those the prime factors of the number 94,787,904?

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 94,787,904

94,787,904
Factor Arrows
247,393,952
Factor Arrows
223,696,976
Factor Arrows
211,848,488
Factor Arrows
25,924,244
Factor Arrows
22,962,122
Factor Arrows
21,481,061
Factor Arrows
3493,687
Factor Arrows
3831,289

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, 383, 1289

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 3 x 383 x 1,289 = 94,787,904

This can also be written as 26 x 31 x 3831 x 1,2891 = 94,787,904

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


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