Q: What are the prime factors of the number 15,486,272?

 A: 2, 241973

Why are those the prime factors of the number 15,486,272?

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 15,486,272

15,486,272
Factor Arrows
27,743,136
Factor Arrows
23,871,568
Factor Arrows
21,935,784
Factor Arrows
2967,892
Factor Arrows
2483,946
Factor Arrows
2241,973

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, 241973

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 241,973 = 15,486,272

This can also be written as 26 x 241,9731 = 15,486,272

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


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