What is the greatest perfect square that is a factor of 192

Question: – What is the greatest perfect square that is a factor of 192

Answer

To find the greatest perfect square that is a factor of 192, we can break down 192 into its prime factors:

192= 2 * 2 * 2 * 2 *2*2* 3

The perfect square that produces the least residue when divided by 192 is known as 64.

We can see this by writing out the perfect squares less than 192:

[1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169]

Out of these perfect squares 64 is the greatest one which divides evenly the number 192.

Thus, the highest perfect square which divides 192 is 64 .