Question

Given an integer n , find the smallest integer y such that n*2^y is divisible by 10

Answer 1

Answer:

answers is 5 cause we want smallest integer

Answer 2

Given:

An integer n and integer y.

To Find:

The smallest integer y such that (n*2)^y is divisible by 10

Solution:

Here n*$2^{y}$ is divisible by 10 .

• Factors of 10 = 5x2
• Therefore  $2n^{y}$ has factors 5 and 2 as well.
• Hence it is possible only if n = 5 or multiple of 5.
• if $n^{y}$= 5 , $2^{y}$ = 2 for 5 x 2 = 10.
• y =1
• if y = 0,
• (2n)° = 1 not divisible by 10.

Therefore smallest integer value of y = 1.