Q: What are the prime factors of the number 7,798,683?

 A: 3, 19, 379

Why are those the prime factors of the number 7,798,683?

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 7,798,683

7,798,683
Factor Arrows
32,599,561
Factor Arrows
19136,819
Factor Arrows
197,201
Factor Arrows
19379

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:

3, 19, 379

We can check our work by multiplying all of the prime factors together: 3 x 19 x 19 x 19 x 379 = 7,798,683

This can also be written as 31 x 193 x 3791 = 7,798,683

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


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