Q: What are the prime factors of the number 42,021,110?

 A: 2, 5, 17, 247183

Why are those the prime factors of the number 42,021,110?

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 42,021,110

42,021,110
Factor Arrows
221,010,555
Factor Arrows
54,202,111
Factor Arrows
17247,183

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, 17, 247183

We can check our work by multiplying all of the prime factors together: 2 x 5 x 17 x 247,183 = 42,021,110

This can also be written as 21 x 51 x 171 x 247,1831 = 42,021,110

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


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