Q: What are the prime factors of the number 15,247,552?

 A: 2, 37, 47, 137

Why are those the prime factors of the number 15,247,552?

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 15,247,552

15,247,552
Factor Arrows
27,623,776
Factor Arrows
23,811,888
Factor Arrows
21,905,944
Factor Arrows
2952,972
Factor Arrows
2476,486
Factor Arrows
2238,243
Factor Arrows
376,439
Factor Arrows
47137

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, 37, 47, 137

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 37 x 47 x 137 = 15,247,552

This can also be written as 26 x 371 x 471 x 1371 = 15,247,552

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


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