Q: What are the prime factors of the number 104,115,248?

 A: 2, 6507203

Why are those the prime factors of the number 104,115,248?

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 104,115,248

104,115,248
Factor Arrows
252,057,624
Factor Arrows
226,028,812
Factor Arrows
213,014,406
Factor Arrows
26,507,203

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, 6507203

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 6,507,203 = 104,115,248

This can also be written as 24 x 6,507,2031 = 104,115,248

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


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