What is the smallest number which 2880 must be divided by to make it a perfect square?
The Usual Method
We first factorize 2880 to get the following factors:
Hence, in order to make it to a perfect square, we have to divide 2880 by 5
Estimated Time to arrive at the answer = 45 seconds.
2880 can be split as a product of 288 and 10. 288 is a product of 2 and a perfect square 144. 10 is a product of 2 and 5. Hence, the only number that has a power of 1 is 5, so it has to be divided to make 2880 a perfect square.
Estimated Time to arrive at the answer = 5 seconds.