# For each of the following congruences, find all integers N, with N>1, that make the congruence true. 6equiv60(mod N).

For each of the following congruences, find all integers N, with N>1, that make the congruence true.
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FieniChoonin
Concept used:
if and only if x and y differ by a multiple of n.
The given congruence is,
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The difference of the given congruence integers is calculated as,
$x-y=6-60=-54$
The factors of -54 for N > 1 are 2,3, 6,9, 18, 27 and 54 , so the integers for the given congruences are 2, 3, 6,9, 18,27 and 54.
Thus, the integers for the given congruences are 2,3, 6,9, 18, 27 and 54.