Q: What are the prime factors of the number 15,480,647?

 A: 7, 13, 311, 547

Why are those the prime factors of the number 15,480,647?

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 15,480,647

15,480,647
Factor Arrows
72,211,521
Factor Arrows
13170,117
Factor Arrows
311547

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:

7, 13, 311, 547

We can check our work by multiplying all of the prime factors together: 7 x 13 x 311 x 547 = 15,480,647

This can also be written as 71 x 131 x 3111 x 5471 = 15,480,647

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


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