Question

find the smallest number by which 1333 must be multiplied to get a perfect square. Also find the square root of the perfect square. I am challenging everyone here

Answer 1

Use prime factorization method and simply 1333.

Now the thing which will u find is that it is not dividing by prime factors like 2,3,5,7,11,13..

Do not consider it as a prime number because it is divisible by 31 and 43 which are themselves prime numbers. So ya its a tricky question lets solve.


When you prime factorize it you get factors 31 and 43. So the number by which it should be multiplied is 31*43=1333.

Hence, The no. should be multiplied by 1333 and the perfect square root will be 1333 itself..

I hope I have solved your query.