Q: What are the prime factors of the number 6,561,247?

 A: 7, 11, 37, 47

Why are those the prime factors of the number 6,561,247?

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 6,561,247

6,561,247
Factor Arrows
7937,321
Factor Arrows
7133,903
Factor Arrows
719,129
Factor Arrows
111,739
Factor Arrows
3747

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:

7, 11, 37, 47

We can check our work by multiplying all of the prime factors together: 7 x 7 x 7 x 11 x 37 x 47 = 6,561,247

This can also be written as 73 x 111 x 371 x 471 = 6,561,247

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


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