Q: What are the prime factors of the number 2,636,864?

 A: 2, 41201

Why are those the prime factors of the number 2,636,864?

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 2,636,864

2,636,864
Factor Arrows
21,318,432
Factor Arrows
2659,216
Factor Arrows
2329,608
Factor Arrows
2164,804
Factor Arrows
282,402
Factor Arrows
241,201

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, 41201

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 41,201 = 2,636,864

This can also be written as 26 x 41,2011 = 2,636,864

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


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