Q: What are the prime factors of the number 205,100,427?

 A: 3, 7, 17, 82073

Why are those the prime factors of the number 205,100,427?

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 205,100,427

205,100,427
Factor Arrows
368,366,809
Factor Arrows
79,766,687
Factor Arrows
71,395,241
Factor Arrows
1782,073

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:

3, 7, 17, 82073

We can check our work by multiplying all of the prime factors together: 3 x 7 x 7 x 17 x 82,073 = 205,100,427

This can also be written as 31 x 72 x 171 x 82,0731 = 205,100,427

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


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