# Find the Smallest Number by Which 12748 Be Mutliplied So that the Product is a Perfect Square? - Mathematics

Sum

Find the smallest number by which 12748 be mutliplied so that the product is a perfect square?

#### Solution

12748 = bar(2xx2) xx 3187

On grouping the prime factors of 12748 as shown; one factor i.e. 3187 is left which cannot be paired with equal factor.

 2 12748 2 6374 3187

The given number should be multiplied by 3187.

Concept: Finding Square Root Through Prime Factorisation
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 3 Squares and Square Root
Exercise 3 (A) | Q 3.2 | Page 38