Here’s and example of a **SMART MATH** problem for **ALGEBRA.**

**Problem**

**Problem**

What is the smallest number which 2880 must be divided by to make it a perfect square?

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**The Usual Method**

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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

**(Ans: 3)**

*Estimated Time to arrive at the answer = 45 seconds.*

**Using Technique**

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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.

**(Ans: 3)**

*Estimated Time to arrive at the answer = 5 seconds.*

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