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More Mods

What is the units digit for the number 123^(456) ?

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N000ughty Thoughts

How many noughts are at the end of these giant numbers?

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Mod 3

Prove that if a^2+b^2 is a multiple of 3 then both a and b are multiples of 3.

Multiplication Magic

Age 14 to 16 Challenge Level:

111, 222, 333,... etc are all divisible by 37.

A second hint is to use 1000= 999+1 when breaking the number into blocks of 3 digits