Q: What are the prime factors of the number 7,581,636?

 A: 2, 3, 210601

Why are those the prime factors of the number 7,581,636?

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 7,581,636

7,581,636
Factor Arrows
23,790,818
Factor Arrows
21,895,409
Factor Arrows
3631,803
Factor Arrows
3210,601

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, 3, 210601

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 210,601 = 7,581,636

This can also be written as 22 x 32 x 210,6011 = 7,581,636

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


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