For each of the following congruences, find all integers N, with N&gt;1, that make the congruence true. 10≡5(mod N).

Question: "For each of the following congruences, find all..."

Ramsey

2021-03-07

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

10 \equiv 5 (m o d N)

saiyansruleA

Skilled2021-03-08Added 110 answers

Concept used:

x \equiv y (m o d n)

if and only if x and y differ by a multiple of n.
The given congruence is,

10 \equiv 5 (m o d N)

.
The difference of the given congruence integers is calculated as,

x - y = 10 - 5 = 5

The factors of 10 for N > 1 is 5 , so the integers for the given congruences is 5.
Thus, the integers for the given congruences is 5.

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