Q: What are the prime factors of the number 184,665,351?

 A: 3, 13, 19, 249211

Why are those the prime factors of the number 184,665,351?

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 184,665,351

184,665,351
Factor Arrows
361,555,117
Factor Arrows
134,735,009
Factor Arrows
19249,211

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, 13, 19, 249211

We can check our work by multiplying all of the prime factors together: 3 x 13 x 19 x 249,211 = 184,665,351

This can also be written as 31 x 131 x 191 x 249,2111 = 184,665,351

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


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