Q: What are the prime factors of the number 15,750,272?

 A: 2, 123049

Why are those the prime factors of the number 15,750,272?

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 15,750,272

15,750,272
Factor Arrows
27,875,136
Factor Arrows
23,937,568
Factor Arrows
21,968,784
Factor Arrows
2984,392
Factor Arrows
2492,196
Factor Arrows
2246,098
Factor Arrows
2123,049

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, 123049

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 2 x 123,049 = 15,750,272

This can also be written as 27 x 123,0491 = 15,750,272

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


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