How many non-perfect squares lie between $361$ and $400?$

Check whether the given number $6561$ is a perfect square. If not, find the smallest number by which it should be multiplied so that the product is a perfect square.

Check whether the given number $11250$ is a perfect square. If not, find the smallest number by which it should be multiplied so that the product is a perfect square.

Check whether the given number $4851$ is a perfect square. If not, find the smallest number by which it should be multiplied so that the product is a perfect square.

Check whether the given number $343$ is a perfect square. If not, find the smallest number by which it should be multiplied so that the product is a perfect square.

Check whether the given number $22050$ is a perfect square. If not, find the smallest number by which it should be multiplied so that the product is a perfect square.