Q: What are the prime factors of the number 6,077,296?

 A: 2, 17, 22343

Why are those the prime factors of the number 6,077,296?

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 6,077,296

6,077,296
Factor Arrows
23,038,648
Factor Arrows
21,519,324
Factor Arrows
2759,662
Factor Arrows
2379,831
Factor Arrows
1722,343

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, 17, 22343

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 22,343 = 6,077,296

This can also be written as 24 x 171 x 22,3431 = 6,077,296

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


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