Find the integer n, 0 n 9, that satisfies n -2187 10.

Since -2187 3 10, the integer n we seek is n = 3.

jmc

number theory intermediate

Problem

Find the integer

n

0 \leq n \leq 9

, that satisfies

n \equiv - 2187 (mod 10) .

Solution

Since

- 2187 \equiv 3 (mod 10)

, the integer

n

we seek is

n = 3

Final answer