Q: What are the prime factors of the number 110,400,544?

 A: 2, 3450017

Why are those the prime factors of the number 110,400,544?

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 110,400,544

110,400,544
Factor Arrows
255,200,272
Factor Arrows
227,600,136
Factor Arrows
213,800,068
Factor Arrows
26,900,034
Factor Arrows
23,450,017

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, 3450017

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3,450,017 = 110,400,544

This can also be written as 25 x 3,450,0171 = 110,400,544

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


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