Q: What are the prime factors of the number 94,184,604?

 A: 2, 3, 53, 49363

Why are those the prime factors of the number 94,184,604?

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 94,184,604

94,184,604
Factor Arrows
247,092,302
Factor Arrows
223,546,151
Factor Arrows
37,848,717
Factor Arrows
32,616,239
Factor Arrows
5349,363

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, 53, 49363

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 53 x 49,363 = 94,184,604

This can also be written as 22 x 32 x 531 x 49,3631 = 94,184,604

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


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