If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3,5,6 and 9. The sum of these multiples is 23.Find the sum of all the multiples of 3 or 5 below 1000.
Question
If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3,5,6 and 9. The sum of these multiples is 23.Find the sum of all the multiples of 3 or 5 below 1000.
Solution
To find the sum of all the multiples of 3 or 5 below 1000, we can follow these steps:
- Initialize a variable called "sum" to keep track of the running total.
- Use a loop to iterate through all the natural numbers below 1000.
- For each number, check if it is divisible by either 3 or 5 using the modulo operator (%).
- If the number is divisible by either 3 or 5, add it to the "sum" variable.
- After the loop finishes, the "sum" variable will contain the sum of all the multiples of 3 or 5 below 1000.
- Print the value of the "sum" variable to get the final result.
Here is an example implementation in Python:
sum = 0
for i in range(1, 1000):
if i % 3 == 0 or i % 5 == 0:
sum += i
print(sum)
The output of this code will be the sum of all the multiples of 3 or 5 below 1000.
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