Q: What are the prime factors of the number 183,093,080?

 A: 2, 5, 499, 9173

Why are those the prime factors of the number 183,093,080?

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 183,093,080

183,093,080
Factor Arrows
291,546,540
Factor Arrows
245,773,270
Factor Arrows
222,886,635
Factor Arrows
54,577,327
Factor Arrows
4999,173

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, 5, 499, 9173

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 499 x 9,173 = 183,093,080

This can also be written as 23 x 51 x 4991 x 9,1731 = 183,093,080

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


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