121, 144, 169, 196, 225, 256, 289, 324, and 361.
121
144
169
196
225
256
289
324
361
To start you off here's a hint: 144 = 122...
7^2=49 < 50 < 8^2=64 < 9^2=81 < 10^2=100 < 110 < 11^2=121 so there are 3 perfect squares greater than 50 and less than 100 viz. 64, 81 and 100.
The perfect squares less than 101 are: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.
Perfect squares have odd numbers of factors. The perfect squares less than 100 are: 1,4,9,16,25,36,49,64,81,100. 64 seems to fit both criteria.
Answer: 1, 64, & 729
To find the perfect squares between 20 and 150, we need to determine the perfect squares less than 20 and the perfect squares greater than 150. The perfect squares less than 20 are 1, 4, 9, and 16. The perfect squares greater than 150 are 169 and 196. Therefore, there are 5 perfect squares between 20 and 150: 25, 36, 49, 64, and 81.
1
26 of them, starting with 29² up to 54².
The perfect squares that are less than 20 are 0, 1, 4, 9, and 16.
To start you off here's a hint: 144 = 122...
Integers which are the squares of integers are called perfect squares or square numbers. Perfect squares less than 101 are 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100.
7^2=49 < 50 < 8^2=64 < 9^2=81 < 10^2=100 < 110 < 11^2=121 so there are 3 perfect squares greater than 50 and less than 100 viz. 64, 81 and 100.
The only squares of perfect squares in that range are 1, 16, and 81.
The perfect squares less than 101 are: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.
1,4,9,16,25,36,49,64,81,100
1,4,9,16,25,36,49,64,81,100,121,144,169,196,225
Any number squared except 0 is a perfect square so it follows that prime numbers are less common than perfect squares.