What least number must be subtracted from 13601 to get a number exactly divisble by 87? Write formula also
13601 = 87*156 + 29
13601/87=156&1/3
87/3=29
13601-29=13572
13572/87=?
To find the least number that must be subtracted from 13601 to get a number exactly divisible by 87, we need to find the remainder when 13601 is divided by 87 and then subtract that remainder from 13601 itself.
The formula to calculate the least number to be subtracted is:
Remainder = Dividend - (Quotient * Divisor)
Let's calculate this step by step:
Step 1: Calculate the quotient
Quotient = 13601 divided by 87 = 156
Step 2: Calculate the remainder
Remainder = 13601 modulus 87 = 40
Step 3: Calculate the least number to be subtracted
Least Number = 13601 - (156 * 87)
= 13601 - 13572
= 29
Therefore, the least number that must be subtracted from 13601 to get a number exactly divisible by 87 is 29.