Q: What are the prime factors of the number 17,666,350?

 A: 2, 5, 13, 27179

Why are those the prime factors of the number 17,666,350?

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 17,666,350

17,666,350
Factor Arrows
28,833,175
Factor Arrows
51,766,635
Factor Arrows
5353,327
Factor Arrows
1327,179

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, 13, 27179

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 13 x 27,179 = 17,666,350

This can also be written as 21 x 52 x 131 x 27,1791 = 17,666,350

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


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