Aptitude - Numbers - Discussion

I DIN'T understand the logic, Could u please explain it ?

These three numbers are the LCM of the Given number i.e. 132.

Why can't we take 2*2*3*11 ? Why it is only 4*3*11 ?

Why have we taken only 4, 3, 11 why can't we take 2?

All the numbers are even, so not necessary to take 2 as a to check. By taking the minimum nos to use, we split 132 as 4*3*11

Thats is nothing but the 132 is the multiplication of 11*3*4 the no which are divisible by these 3 are the answers.

I need a shortcut method to solve this problem please.

Logic is not clearly explain the answer.

Please explain me in easiest way.

If a number "A" is divisible by all factors of another number say "B", then "A" is divisible by "B"
thats the logic

example factors of 6= 2*3

any number that is divisible by both 2 and 3 will be divisible by 6. always
in this quetsion we have factorized 132 in to 4*3*11 so that we can check whether all numbers are divisible by them.. if yes then the number is divisible by 132.

ps: shortcut, u need to learn the divisibility rules for 11 and 3, google them

You have told that the number divisible by all the three number 4, 3 and 11, then the number is divisible by 132 also.

but,462 is divisible by 4,3 and 11,so according to your logic,so why 462 is not in the category that divisible by 132.WHY? please reply very soon