Q: What are the prime factors of the number 93,316,842?

 A: 2, 3, 17, 23, 13259

Why are those the prime factors of the number 93,316,842?

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 93,316,842

93,316,842
Factor Arrows
246,658,421
Factor Arrows
315,552,807
Factor Arrows
35,184,269
Factor Arrows
17304,957
Factor Arrows
2313,259

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, 17, 23, 13259

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 17 x 23 x 13,259 = 93,316,842

This can also be written as 21 x 32 x 171 x 231 x 13,2591 = 93,316,842

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


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