Q: What are the prime factors of the number 104,441,195?

 A: 5, 19, 37, 43, 691

Why are those the prime factors of the number 104,441,195?

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 104,441,195

104,441,195
Factor Arrows
520,888,239
Factor Arrows
191,099,381
Factor Arrows
3729,713
Factor Arrows
43691

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:

5, 19, 37, 43, 691

We can check our work by multiplying all of the prime factors together: 5 x 19 x 37 x 43 x 691 = 104,441,195

This can also be written as 51 x 191 x 371 x 431 x 6911 = 104,441,195

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


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