yes, every multiple of 9 is a multiple of 3, but that doesn't cover all of them ...there are more multiples of 3 besides those.
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All numbers divisible by 9 are divisible by 3; since 9 = 3 x 3 all multiples of 9 are also multiples of 3. However, all numbers divisible by 3 are not divisible by 9, eg 6 = 2 x 3 but 6 is not divisible by 9 (since 6 is not a multiple of 9) - it only takes one counter example to disprove a theory.
6 and its multiples are divisible by 2 and 3.
For starters, the number 3 is divisible by 3 but not by 2. Next, 9, 27 etc. All the odd multiples of 3 are divisible by 3 but not 2. So there is an infinite number of numbers that are divisible by 3 and not 2.
54 is divisible by 1, 2, 3, 6, 9, 18, 27, 54 Multiples of 54 are divisible by 54.
Itself and any multiples of 9