Q: What are the prime factors of the number 12,804,824?

 A: 2, 1600603

Why are those the prime factors of the number 12,804,824?

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 12,804,824

12,804,824
Factor Arrows
26,402,412
Factor Arrows
23,201,206
Factor Arrows
21,600,603

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, 1600603

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 1,600,603 = 12,804,824

This can also be written as 23 x 1,600,6031 = 12,804,824

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


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