It's trivially obvious that it's NOT divisible by 5, since doesn't end in 5 or 0. That means it's also not divisible by 10. (Not all numbers that are divisible by 5 are divisible by 10, but every number that is divisible by 10 is also divisible by 5.)
1+0+4+4 = 9, so it is divisible by 3 (and by 9).
It ends with a 4, so it's divisible by 2.
The last two digits are 44, which is divisible by 4, so the entire number is divisible by 4.
Being divisible by 2 and 3 means it's also divisible by 6.
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