Q: What are the prime factors of the number 184,650,597?

 A: 3, 84431

Why are those the prime factors of the number 184,650,597?

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 184,650,597

184,650,597
Factor Arrows
361,550,199
Factor Arrows
320,516,733
Factor Arrows
36,838,911
Factor Arrows
32,279,637
Factor Arrows
3759,879
Factor Arrows
3253,293
Factor Arrows
384,431

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:

3, 84431

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 84,431 = 184,650,597

This can also be written as 37 x 84,4311 = 184,650,597

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


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