Q: What are the prime factors of the number 166,346,615?

 A: 5, 17, 19, 103001

Why are those the prime factors of the number 166,346,615?

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 166,346,615

166,346,615
Factor Arrows
533,269,323
Factor Arrows
171,957,019
Factor Arrows
19103,001

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:

5, 17, 19, 103001

We can check our work by multiplying all of the prime factors together: 5 x 17 x 19 x 103,001 = 166,346,615

This can also be written as 51 x 171 x 191 x 103,0011 = 166,346,615

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


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