Find the smallest number by which 1323 should be divided so that the quotient obtained is a perfect square.
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Answer:
7 is your required answer.
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Concept:
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.
In arithmetic, a quotient is a quantity produced by the division of two numbers.
Given:
We are given the number:
1323
Find:
We need to find the smallest number by which the given number should be divided so that the quotient is a perfect square.
Solution:
First, we will make the factors for the number:
1323=3×3×3×7×7
We can also write it as:
1323=3²×7²×3
From this, we can clearly see that 1323 should be divided by 3 so that the quotient that is obtained becomes a perfect square.
Therefore, 1323 should be divided by 3 to obtain a quotient that is a perfect square.
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