Q: What are the prime factors of the number 180,273,920?

 A: 2, 5, 140839

Why are those the prime factors of the number 180,273,920?

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 180,273,920

180,273,920
Factor Arrows
290,136,960
Factor Arrows
245,068,480
Factor Arrows
222,534,240
Factor Arrows
211,267,120
Factor Arrows
25,633,560
Factor Arrows
22,816,780
Factor Arrows
21,408,390
Factor Arrows
2704,195
Factor Arrows
5140,839

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, 140839

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 2 x 2 x 5 x 140,839 = 180,273,920

This can also be written as 28 x 51 x 140,8391 = 180,273,920

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


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