Question

One number written by 2014 number 8 in a row. Q. How many units should be added to the number to divide by 36?

I'm really happy if you can help me!

Answer 1

`2`

Explanation:

First, `36=9*4`. If our number with 2014 8's is `n`

`n/36=n/4*1/9`

If we divide `n` by `4`, we would have 2014 2's.

`888....8:4=222...2=a`

Now we need to divide `a` by `9`. A number can be divide by `9`, if the cross sum can be divide by `9`.
`q(a)=(2+2+2...+2)=2014*2=4028`
`q(4028)=14`

The next factor of `9` would be `18`.
`18-14=4`

Therefore, we need to raise the cross sum by `4`. Since we are adding 8's which are getting divide by `4`, we are actually adding 2's. The answer is...
`4/2=2`
...8's have to be added.