15 modulo 5
Understand the Problem
The question is asking for the result of the modulo operation, specifically how many times 5 fits into 15 and what remains. The modulo operation finds the remainder of division between two numbers.
Answer
$0$
Answer for screen readers
The result of the modulo operation is $0$.
Steps to Solve
- Identify the numbers for the modulo operation
We need to find the modulo of 15 and 5. This means we will calculate $15 \mod 5$.
- Divide the first number by the second
Divide 15 by 5:
$$ 15 \div 5 = 3 $$
- Calculate the product of the divisor and the quotient
Now, multiply the quotient (3) by the divisor (5) to find how much we have accounted for:
$$ 3 \times 5 = 15 $$
- Find the remainder
Next, subtract this product from the original number:
$$ 15 - 15 = 0 $$
So, the remainder when 15 is divided by 5 is 0.
The result of the modulo operation is $0$.
More Information
When you perform the modulo operation, you're essentially finding the remainder of division. In this case, since 15 is exactly divisible by 5, the remainder is 0. This means that 5 fits exactly into 15 three times without any leftover.
Tips
- Confusing Division and Modulo: It's important to remember that the modulo operation specifically looks for the remainder, not just how many times one number can fit into another.
- Forgetting the Remainder Calculation: Sometimes, after dividing, one might forget to calculate the remainder by subtracting the product from the original number.
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