Q: What are the prime factors of the number 104,445,024?

 A: 2, 3, 23, 47303

Why are those the prime factors of the number 104,445,024?

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 104,445,024

104,445,024
Factor Arrows
252,222,512
Factor Arrows
226,111,256
Factor Arrows
213,055,628
Factor Arrows
26,527,814
Factor Arrows
23,263,907
Factor Arrows
31,087,969
Factor Arrows
2347,303

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, 23, 47303

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 23 x 47,303 = 104,445,024

This can also be written as 25 x 31 x 231 x 47,3031 = 104,445,024

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


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