Q: What are the prime factors of the number 67,173,336?

 A: 2, 3, 932963

Why are those the prime factors of the number 67,173,336?

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 67,173,336

67,173,336
Factor Arrows
233,586,668
Factor Arrows
216,793,334
Factor Arrows
28,396,667
Factor Arrows
32,798,889
Factor Arrows
3932,963

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, 932963

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 932,963 = 67,173,336

This can also be written as 23 x 32 x 932,9631 = 67,173,336

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


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