Q: What are the prime factors of the number 6,099,552?

 A: 2, 3, 21179

Why are those the prime factors of the number 6,099,552?

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 6,099,552

6,099,552
Factor Arrows
23,049,776
Factor Arrows
21,524,888
Factor Arrows
2762,444
Factor Arrows
2381,222
Factor Arrows
2190,611
Factor Arrows
363,537
Factor Arrows
321,179

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, 21179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 21,179 = 6,099,552

This can also be written as 25 x 32 x 21,1791 = 6,099,552

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


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