Q: What are the prime factors of the number 181,035,880?

 A: 2, 5, 991, 4567

Why are those the prime factors of the number 181,035,880?

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 181,035,880

181,035,880
Factor Arrows
290,517,940
Factor Arrows
245,258,970
Factor Arrows
222,629,485
Factor Arrows
54,525,897
Factor Arrows
9914,567

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, 991, 4567

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 991 x 4,567 = 181,035,880

This can also be written as 23 x 51 x 9911 x 4,5671 = 181,035,880

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


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