Q: What are the prime factors of the number 104,726,560?

 A: 2, 5, 654541

Why are those the prime factors of the number 104,726,560?

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 104,726,560

104,726,560
Factor Arrows
252,363,280
Factor Arrows
226,181,640
Factor Arrows
213,090,820
Factor Arrows
26,545,410
Factor Arrows
23,272,705
Factor Arrows
5654,541

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, 5, 654541

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 654,541 = 104,726,560

This can also be written as 25 x 51 x 654,5411 = 104,726,560

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


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