Question

Find the number of ideal integers within the given segment [low,high] inclusive. An ideal number is a positive integer that has only 3 and 5 as prime divisors. An ideal number can be expressed in the form of 3^x*5^y, where x and y are non-negativeintegers

Answer 1

Answer:

1. low = 10
2. high = 50
3. count = 0
5. for i in range(low, high + 1):
6.    if(i % 3 == 0 and i % 5 == 0):
7.        count += 1
8. print(count)

Explanation:

The solution code is written in Python.

We can create low and high variables to store the lower bound and upper bound in the range (Line 1-2)

Next create a counter variable, count (Line 3).

Use a for loop to traverse through the number between lower bound and upper bound and check if the current number-i is divisible by 3 and by 5, increment the count by one.

After the loop, print the count and we can get the number of ideal integers within the range (Line 8).