Q: What are the prime factors of the number 181,686,600?

 A: 2, 3, 5, 100937

Why are those the prime factors of the number 181,686,600?

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 181,686,600

181,686,600
Factor Arrows
290,843,300
Factor Arrows
245,421,650
Factor Arrows
222,710,825
Factor Arrows
37,570,275
Factor Arrows
32,523,425
Factor Arrows
5504,685
Factor Arrows
5100,937

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, 100937

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 5 x 100,937 = 181,686,600

This can also be written as 23 x 32 x 52 x 100,9371 = 181,686,600

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


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