On dividing 12401 by a certain number, we get 76 as quotient and 13 as remainder. What is the divisor?
Question
On dividing 12401 by a certain number, we get 76 as quotient and 13 as remainder. What is the divisor?
Solution
Sure, here is the step by step solution:
Step 1: According to the division process, we know that Dividend = Divisor * Quotient + Remainder.
Step 2: In this problem, the Dividend is 12401, the Quotient is 76, and the Remainder is 13.
Step 3: We need to find the Divisor. So, let's rearrange the formula to solve for the Divisor: Divisor = (Dividend - Remainder) / Quotient.
Step 4: Substitute the given values into the formula: Divisor = (12401 - 13) / 76.
Step 5: Simplify the equation: Divisor = 12388 / 76.
Step 6: Calculate the result: Divisor = 163.
So, the divisor is 163.
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