Q: What are the prime factors of the number 15,660,672?

 A: 2, 3, 17, 2399

Why are those the prime factors of the number 15,660,672?

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 15,660,672

15,660,672
Factor Arrows
27,830,336
Factor Arrows
23,915,168
Factor Arrows
21,957,584
Factor Arrows
2978,792
Factor Arrows
2489,396
Factor Arrows
2244,698
Factor Arrows
2122,349
Factor Arrows
340,783
Factor Arrows
172,399

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, 3, 17, 2399

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 3 x 17 x 2,399 = 15,660,672

This can also be written as 27 x 31 x 171 x 2,3991 = 15,660,672

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


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