Find the smallest number by which 235445 must be divided so that it be

1.	Find the smallest number by which 235445 must be divided so that it becomes aperfect square. Also, find the square root of the perfect square so obtained.
Answer» Prime factorization of 235445 is 7 * 7 * 31 * 31 * 5 Since the prime factor 5 does not occur in a pair, so 235445 is not a perfect square. In order to make it a perfect square, it must be divided by 5. So, 235445/5 = 47089 Square root of 47089 = 217 * 217= 217

Find the smallest number by which 235445 must be divided so that it becomes aperfect square. Also, find the square root of the perfect square so obtained.

Answer»

Prime factorization of 235445 is 7 * 7 * 31 * 31 * 5

Since the prime factor 5 does not occur in a pair, so 235445 is not a perfect square.

In order to make it a perfect square, it must be divided by 5.

So, 235445/5 = 47089

Square root of 47089 = 217 * 217= 217