Final answer:
To find the number of positive perfect squares less than 2023 that are divisible by 5, determine the largest perfect square less than 2023 and divisible by 5. Then, divide the largest perfect square by 5 to find the number of perfect squares that are divisible by 5.
Step-by-step explanation:
To find the number of positive perfect squares less than 2023 that are divisible by 5, we need to determine the maximum perfect square that is less than 2023 and divisible by 5. The largest perfect square less than 2023 is 44^2 = 1936. Since 1936 is divisible by 5, we can count it as one of the perfect squares we are looking for.
Next, we need to find the number of perfect squares from 1^2 to 44^2 that are divisible by 5. We can do this by finding the largest perfect square that is divisible by 5 and dividing it by 5. In this case, 1936 divided by 5 is 387. Therefore, there are 387 positive perfect squares less than 2023 that are divisible by 5.