Q: What are the prime factors of the number 166,840,121?

 A: 7, 19, 103, 641

Why are those the prime factors of the number 166,840,121?

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 166,840,121

166,840,121
Factor Arrows
723,834,303
Factor Arrows
191,254,437
Factor Arrows
1966,023
Factor Arrows
103641

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:

7, 19, 103, 641

We can check our work by multiplying all of the prime factors together: 7 x 19 x 19 x 103 x 641 = 166,840,121

This can also be written as 71 x 192 x 1031 x 6411 = 166,840,121

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


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