Q: What are the prime factors of the number 7,820,676?

 A: 2, 3, 217241

Why are those the prime factors of the number 7,820,676?

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 7,820,676

7,820,676
Factor Arrows
23,910,338
Factor Arrows
21,955,169
Factor Arrows
3651,723
Factor Arrows
3217,241

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, 217241

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 217,241 = 7,820,676

This can also be written as 22 x 32 x 217,2411 = 7,820,676

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


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