Q: What are the prime factors of the number 104,403,008?

 A: 2, 1631297

Why are those the prime factors of the number 104,403,008?

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 104,403,008

104,403,008
Factor Arrows
252,201,504
Factor Arrows
226,100,752
Factor Arrows
213,050,376
Factor Arrows
26,525,188
Factor Arrows
23,262,594
Factor Arrows
21,631,297

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, 1631297

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 1,631,297 = 104,403,008

This can also be written as 26 x 1,631,2971 = 104,403,008

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


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