For each of the following congruences, find all integers N, with N>1, that make the congruence true. 23equiv13(mod N).

CMIIh

CMIIh

Answered question

2020-12-21

For each of the following congruences, find all integers N, with N>1, that make the congruence true.
2313(mod N).

Answer & Explanation

Ayesha Gomez

Ayesha Gomez

Skilled2020-12-22Added 104 answers

Concept used:
xy(mod n) if and only if x and y differ by a multiple of n.
The given congruence is,
2313(mod N).
The difference of the given congruence integers is calculated as,
xy=2313=10
The factors of 10 for N > 1 are 2,5, and 10 , so the integers for the given congruences are 2,5, and 10.
Thus, the integers for the given congruences are 2,5, and 10.

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