$228,547,866$ divided by $q$ leaves the remainder of $r$. Find $r+q$. The problem is designated to be solved by using modular arithmetic. Even though I haven't learned what that is.
2026-04-06 04:14:09.1775448849
Congruence and modular arithmetic
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$$228=r \pmod{q}\\547=r \pmod{q}\\866=r \pmod{q}\\547-228=0\pmod{q}\\319=0\pmod{q}$$ Now q can be either 11 or 29(prime factors of 319),and it can also be 319