Q: What are the prime factors of the number 10,581,568?

 A: 2, 101, 1637

Why are those the prime factors of the number 10,581,568?

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 10,581,568

10,581,568
Factor Arrows
25,290,784
Factor Arrows
22,645,392
Factor Arrows
21,322,696
Factor Arrows
2661,348
Factor Arrows
2330,674
Factor Arrows
2165,337
Factor Arrows
1011,637

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, 101, 1637

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 101 x 1,637 = 10,581,568

This can also be written as 26 x 1011 x 1,6371 = 10,581,568

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


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