Q: What are the prime factors of the number 12,041,015?

 A: 5, 7, 17, 59

Why are those the prime factors of the number 12,041,015?

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 12,041,015

12,041,015
Factor Arrows
52,408,203
Factor Arrows
7344,029
Factor Arrows
749,147
Factor Arrows
77,021
Factor Arrows
71,003
Factor Arrows
1759

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, 17, 59

We can check our work by multiplying all of the prime factors together: 5 x 7 x 7 x 7 x 7 x 17 x 59 = 12,041,015

This can also be written as 51 x 74 x 171 x 591 = 12,041,015

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


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