Q: What are the prime factors of the number 12,101,005?

 A: 5, 7, 19, 31, 587

Why are those the prime factors of the number 12,101,005?

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 12,101,005

12,101,005
Factor Arrows
52,420,201
Factor Arrows
7345,743
Factor Arrows
1918,197
Factor Arrows
31587

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, 7, 19, 31, 587

We can check our work by multiplying all of the prime factors together: 5 x 7 x 19 x 31 x 587 = 12,101,005

This can also be written as 51 x 71 x 191 x 311 x 5871 = 12,101,005

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


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