Q: What are the prime factors of the number 14,603,360?

 A: 2, 5, 107, 853

Why are those the prime factors of the number 14,603,360?

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 14,603,360

14,603,360
Factor Arrows
27,301,680
Factor Arrows
23,650,840
Factor Arrows
21,825,420
Factor Arrows
2912,710
Factor Arrows
2456,355
Factor Arrows
591,271
Factor Arrows
107853

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, 107, 853

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 107 x 853 = 14,603,360

This can also be written as 25 x 51 x 1071 x 8531 = 14,603,360

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


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