Q: What are the prime factors of the number 6,064,396?

 A: 2, 13, 8971

Why are those the prime factors of the number 6,064,396?

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 6,064,396

6,064,396
Factor Arrows
23,032,198
Factor Arrows
21,516,099
Factor Arrows
13116,623
Factor Arrows
138,971

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, 13, 8971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 13 x 8,971 = 6,064,396

This can also be written as 22 x 132 x 8,9711 = 6,064,396

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


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