Q: What are the prime factors of the number 104,428,005?

 A: 3, 5, 11, 632897

Why are those the prime factors of the number 104,428,005?

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 104,428,005

104,428,005
Factor Arrows
334,809,335
Factor Arrows
56,961,867
Factor Arrows
11632,897

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:

3, 5, 11, 632897

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 632,897 = 104,428,005

This can also be written as 31 x 51 x 111 x 632,8971 = 104,428,005

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


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