Q: What are the prime factors of the number 186,150?

 A: 2, 3, 5, 17, 73

Why are those the prime factors of the number 186,150?

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 186,150

186,150
Factor Arrows
293,075
Factor Arrows
331,025
Factor Arrows
56,205
Factor Arrows
51,241
Factor Arrows
1773

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, 17, 73

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 17 x 73 = 186,150

This can also be written as 21 x 31 x 52 x 171 x 731 = 186,150

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


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