Q: What are the prime factors of the number 15,840,352?

 A: 2, 11, 4091

Why are those the prime factors of the number 15,840,352?

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 15,840,352

15,840,352
Factor Arrows
27,920,176
Factor Arrows
23,960,088
Factor Arrows
21,980,044
Factor Arrows
2990,022
Factor Arrows
2495,011
Factor Arrows
1145,001
Factor Arrows
114,091

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, 11, 4091

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 11 x 4,091 = 15,840,352

This can also be written as 25 x 112 x 4,0911 = 15,840,352

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


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