Question

What is the greatest number between 5000 and 6000 that is divisible by both 3 and 9?

Answer 1

Largest number divisible by both 3 and 9 is `5994`.

Explanation:

As `3` is a factor of `9`, every number that is divisible by `9` is also divisible by `3`.

To find the greatest number between 5000 and 6000 that is divisible by both 3 and 9,

we should divide by the larger number, which is `6000` by `9` and as `6000=9xx666(color(red)(=5994))+6`

it is apparent that the largest number divisible by both 3 and 9 is `6000-6=5994`.

Note: In case we are given two number `a` and `b` we should divide the lager number by GCF of the two numbers are `a` and `b`. Here we have divided by `9` - as `3` being a factor of `9` is also GCF of `3` and `9`.