Q: What are the prime factors of the number 93,023,784?

 A: 2, 3, 7, 184571

Why are those the prime factors of the number 93,023,784?

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 93,023,784

93,023,784
Factor Arrows
246,511,892
Factor Arrows
223,255,946
Factor Arrows
211,627,973
Factor Arrows
33,875,991
Factor Arrows
31,291,997
Factor Arrows
7184,571

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, 7, 184571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 7 x 184,571 = 93,023,784

This can also be written as 23 x 32 x 71 x 184,5711 = 93,023,784

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


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