Q: What are the prime factors of the number 8,888,704?

 A: 2, 11, 59, 107

Why are those the prime factors of the number 8,888,704?

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 8,888,704

8,888,704
Factor Arrows
24,444,352
Factor Arrows
22,222,176
Factor Arrows
21,111,088
Factor Arrows
2555,544
Factor Arrows
2277,772
Factor Arrows
2138,886
Factor Arrows
269,443
Factor Arrows
116,313
Factor Arrows
59107

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, 11, 59, 107

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 2 x 11 x 59 x 107 = 8,888,704

This can also be written as 27 x 111 x 591 x 1071 = 8,888,704

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


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