Question:Divisibility by 11: A number is divisible by 11,if the difference of the sum of its digits at odd places and the sum of its digits at at even places,is either o or a number divisible by 11.
10.Show that 4832718 is divisible 11.
Answer Sol.( Sum of digits at odd places)-(Sum of digits at even places)
=[(8+7+3+4)-(1+2+8)=11,which is divisible by 11.
:.4832718 is divisible by 11.
Co-Prime:Two numbers are said to be co-prime,if their H. C. F. is 1.
e.g.(2,3),(4,5),(7,9),(8,11) etc.are primes.
An Important Note: A number is divisible by ab only when that number is divisible by each one of a and b,where a and b are co-prime.