Q: What are the prime factors of the number 180,871,104?

 A: 2, 3, 942037

Why are those the prime factors of the number 180,871,104?

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 180,871,104

180,871,104
Factor Arrows
290,435,552
Factor Arrows
245,217,776
Factor Arrows
222,608,888
Factor Arrows
211,304,444
Factor Arrows
25,652,222
Factor Arrows
22,826,111
Factor Arrows
3942,037

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, 942037

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 3 x 942,037 = 180,871,104

This can also be written as 26 x 31 x 942,0371 = 180,871,104

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


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