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[Smart Math] Algebra Problem 10

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

Problem

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

1. 3
2. 4
3. 5
4. 6
5. 8

The Usual Method

We first factorize 2880 to get the following factors:

$2880=2^{6}\times 3^{2}\times 5^{1}$

Hence, in order to make it to a perfect square, we have to divide 2880 by 5

$\frac{2880}{5}=2^{6}\times 3^{2}$

$\therefore \sqrt{2^{6}\times 3^{2}}=2^{3}\times 3^{1}=24$

(Ans: 3)

Estimated Time to arrive at the answer = 45 seconds.