Q: What are the prime factors of the number 15,452,224?

 A: 2, 241441

Why are those the prime factors of the number 15,452,224?

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 15,452,224

15,452,224
Factor Arrows
27,726,112
Factor Arrows
23,863,056
Factor Arrows
21,931,528
Factor Arrows
2965,764
Factor Arrows
2482,882
Factor Arrows
2241,441

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, 241441

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 241,441 = 15,452,224

This can also be written as 26 x 241,4411 = 15,452,224

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


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