NUMBER THEORY Without calculating the products or using the calculator, find the remainders of the division. Demonstrate...

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Advance Math

NUMBER THEORY
Without calculating the products or using the calculator, findthe remainders of the division. Demonstrate the process, thesolution has been shown already.
a) 5²⁸⁵⁷⁴ divided by 17.
Solution : 15.
b) 35³⁴⁶ divided by 41.
Solution : 2.
c) 34 × 17 divided by 29.
Sol : 27
d) 19 × 14 divided by 23.
Sol : 13.

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calculating remainders using CONGRUENCES is one of themethods when we cannot use the calculator to divide twonumbersSo first of all what is a congruenceWhen we divide a number a with n then using Euclideanalgorithm there exist numbers b and k such that aknb See Answer

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**NUMBER THEORY** Without calculating the products or using the calculator, find the remainders of the division. Demonstrate...