Question

find the smallest number by which the given number must be divided so that the number is a perfect square 12283​

Answer 1

Resolving 14283 into prime factors, we get 14283 = 3 × 3 × 3 × 23 × 23 Obtained factors can be paired into equal factors except for 3 So, eliminate 3 by diving the dividing the number with 3 14283 3 142833 = (3 × 3) × (23 × 23) Again, 14283 3 142833 = (3 × 23) × (3 × 23) = 69 × 69 = (69)2

Answer 2

Answer:

Correct option is

A

3

We are going to find prime factors of 14283

14283=3×4761

         =3×3×4761

         =3×3×3×529

         =3×3×3×23×23

Now, we are going to make a group of equal number.

         =(3×3)×(23×23)×3

By observation, 3 prime factor left out.

So, divide by 3 we get,

14283÷3= (3×3)×(23×23)

                  =(3×23)×(3×23)

                  =69×69

                  =(69)  

2

 

∴   To make perfect square we have to divide 14283 by 3.

Step-by-step explanation: