What are the remainders when a perfect cube is divided by 7?
Answers
Answered by
0
A number can be 0 mod 7, and then so is its cube. Similarly for 1 mod 7. For numbers that are 2 mod 7 we get their cube is 8 mod 7, so in fact 1 mod 7, and so on.
You just need to check 0 to 6 mod 7 and what their cubes are in the group Z7.
You just need to check 0 to 6 mod 7 and what their cubes are in the group Z7.
Similar questions