Question

Find the least nonnegative residue of 365 (mod 5)

Answer 1

Answer on Question #82605 – Math – Abstract Algebra

Question

Find the least nonnegative residue of 365 (mod 5)

Solution

Since 5 | 365 (in other words, 5 divides 365), so 365=0 (mod 5), so 0 belongs to the residue class of 365 (mod 5).

It is the least nonnegative residue because it is the least nonnegative integer with such properties.

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