SOLUTION: Let n be the smallest of three natural numbers whose product is 720. What is the largest possible value of n? prime decoposition of 2^4x5x9 answer is 8 but unsure how to get ther

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Question 1112408: Let n be the smallest of three natural numbers whose product is 720. What is the largest possible value of n?
prime decoposition of 2^4x5x9
answer is 8 but unsure how to get there
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
root%283%2C720%29 = 8.96 (approximately).


Therefore, the number under the question should be close to 8.96 from the lower side.


Inspired by this observation, I write  720 = 8*9*10,  using factors that are close to 8.96.


From this decomposition, it is clear that the answer is 8.

Solved.