Q: What are the prime factors of the number 186,021,180?

 A: 2, 3, 5, 1033451

Why are those the prime factors of the number 186,021,180?

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 186,021,180

186,021,180
Factor Arrows
293,010,590
Factor Arrows
246,505,295
Factor Arrows
315,501,765
Factor Arrows
35,167,255
Factor Arrows
51,033,451

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, 5, 1033451

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 1,033,451 = 186,021,180

This can also be written as 22 x 32 x 51 x 1,033,4511 = 186,021,180

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


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