Q: What are the prime factors of the number 8,824,104?

 A: 2, 3, 122557

Why are those the prime factors of the number 8,824,104?

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 8,824,104

8,824,104
Factor Arrows
24,412,052
Factor Arrows
22,206,026
Factor Arrows
21,103,013
Factor Arrows
3367,671
Factor Arrows
3122,557

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, 122557

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 122,557 = 8,824,104

This can also be written as 23 x 32 x 122,5571 = 8,824,104

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


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