Number Theory

Question

0

26

1

+1000

Select all the integers that are congruent to $2$ modulo $7.$
1, 2, 3, 4, 5, 6, 7

Hi6942O Jul 9, 2024

NotThatSmart · Answer 1 · 2024-07-09T02:35:45

Let's make some observations.

2 modulo 7 means that it leaves a remainder of 2 when divided by 7.

Well, let's look at the numbers

$1, 2, 3, 4, 5, 6, 7$

Note that other than 2, other numbers leave a remainder of NOT 2.

So our answer is just $2$

Thanks! :)