Q: What are the prime factors of the number 6,072,672?

 A: 2, 3, 17, 61

Why are those the prime factors of the number 6,072,672?

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 6,072,672

6,072,672
Factor Arrows
23,036,336
Factor Arrows
21,518,168
Factor Arrows
2759,084
Factor Arrows
2379,542
Factor Arrows
2189,771
Factor Arrows
363,257
Factor Arrows
173,721
Factor Arrows
6161

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, 61

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 17 x 61 x 61 = 6,072,672

This can also be written as 25 x 31 x 171 x 612 = 6,072,672

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


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