Q: What are the prime factors of the number 14,241,015?

 A: 3, 5, 3907

Why are those the prime factors of the number 14,241,015?

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 14,241,015

14,241,015
Factor Arrows
34,747,005
Factor Arrows
31,582,335
Factor Arrows
3527,445
Factor Arrows
3175,815
Factor Arrows
358,605
Factor Arrows
319,535
Factor Arrows
53,907

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, 5, 3907

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 5 x 3,907 = 14,241,015

This can also be written as 36 x 51 x 3,9071 = 14,241,015

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


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