Q: What are the prime factors of the number 104,014,336?

 A: 2, 223, 911

Why are those the prime factors of the number 104,014,336?

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 104,014,336

104,014,336
Factor Arrows
252,007,168
Factor Arrows
226,003,584
Factor Arrows
213,001,792
Factor Arrows
26,500,896
Factor Arrows
23,250,448
Factor Arrows
21,625,224
Factor Arrows
2812,612
Factor Arrows
2406,306
Factor Arrows
2203,153
Factor Arrows
223911

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, 223, 911

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 2 x 2 x 223 x 911 = 104,014,336

This can also be written as 29 x 2231 x 9111 = 104,014,336

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


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