Q: What are the prime factors of the number 104,580,880?

 A: 2, 5, 1307261

Why are those the prime factors of the number 104,580,880?

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 104,580,880

104,580,880
Factor Arrows
252,290,440
Factor Arrows
226,145,220
Factor Arrows
213,072,610
Factor Arrows
26,536,305
Factor Arrows
51,307,261

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, 1307261

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 1,307,261 = 104,580,880

This can also be written as 24 x 51 x 1,307,2611 = 104,580,880

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


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