Question

Find the least positive value of x such that 71 equal to X Mod 8 ​

Answer 1

Answer:

The least value of x is 7

Step-by-step explanation:

Given:

71≡x(mod8)

$\implies\:71-x$ is divisible by 8

when x=1, 71-x=70 which is not divisible by 8

when x=2, 71-x=69 which is not divisible by 8

when x=3, 71-x=68 which is not divisible by 8

when x=4, 71-x=67 which is not divisible by 8

when x=5, 71-x=66 which is not divisible by 8

when x=6, 71-x=65 which is not divisible by 8

when x=7, 71-x=64 which is divisible by 8

$\therefore$ The least value of x is 7