Q: What are the prime factors of the number 180,221,120?

 A: 2, 5, 79, 7129

Why are those the prime factors of the number 180,221,120?

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 180,221,120

180,221,120
Factor Arrows
290,110,560
Factor Arrows
245,055,280
Factor Arrows
222,527,640
Factor Arrows
211,263,820
Factor Arrows
25,631,910
Factor Arrows
22,815,955
Factor Arrows
5563,191
Factor Arrows
797,129

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, 79, 7129

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 79 x 7,129 = 180,221,120

This can also be written as 26 x 51 x 791 x 7,1291 = 180,221,120

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


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