To find: A positive inverse for 210 modulo 13.

permaneceerc

permaneceerc

Answered question

2021-03-15

To find: A positive inverse for 210 modulo 13.

Answer & Explanation

nitruraviX

nitruraviX

Skilled2021-03-17Added 101 answers

Given information:
210 modulo 13
Concept used:
abmodb = Remainder, when a is divided by b.
Calculation:
7=6(b mod 13) since, 1713(6)1313
13=13×1
Thus, 2107=210(6)(b mod 13)
If follows by the transitive property of congruence.
Then 2107=1(b mod 13)
7 is smallest positive number inverse for 210 modulo 13.
Conclusion:
7 is the inverse for 210b mod 13.

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