Question

What least number must be added to 4000 in order to obtain a number exactly divisible by 17?

Answer 1

the least number that should be added to 4000 is 250

Answer 2

Answer:

The least number which must be added to 4000 such that it is divisible by 17 = 12

Step-by-step explanation:

The given number is given to be 4000

Now we have to find the least number which should be added to 4000 such that it is completely divisible by 17

For this, first divide the given number 4000 by 17 and find out the remainder.

So, 4000 = 17 × 235 + 5

⇒ Remainder = 5

So, to make it divisible by 17 add (17 - 5) = 12 to the number

So, The number becomes 4000 + 12 = 4012

And, 4012 = 17 × 236 + 0

Hence, The least number which must be added to 4000 such that it is divisible by 17 = 12