No.
Add the digits of the dividend and if that is divisible by 3 then the original number is divisible by 3; if not, its remainder when divided by 3 gives the remainder when the original number is divided by 3:
1 + 2 + 1 = 4 which gives a remainder of 1 when divided by 3, so 121 divided by 3 gives a remainder of 1.
(121 = 40 x 3 + 1)
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135
The factors of 363 are: 1, 3, 11, 33, 121, 363
Sure, but not evenly.121/4 = 30.25120 and 124 are both evenly divisible by 4.
242
Yes.