Q: What are the prime factors of the number 184,881,708?

 A: 2, 3, 11, 42443

Why are those the prime factors of the number 184,881,708?

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 184,881,708

184,881,708
Factor Arrows
292,440,854
Factor Arrows
246,220,427
Factor Arrows
315,406,809
Factor Arrows
35,135,603
Factor Arrows
11466,873
Factor Arrows
1142,443

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, 11, 42443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 11 x 42,443 = 184,881,708

This can also be written as 22 x 32 x 112 x 42,4431 = 184,881,708

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


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