Why does 2 mod 4 = 2?

Solution 1:

Mod just means you take the remainder after performing the division. Since 4 goes into 2 zero times, you end up with a remainder of 2.

Solution 2:

Modulo is the remainder, not division.

2 / 4 = 0R2
2 % 4 = 2

The sign % is often used for the modulo operator, in lieu of the word mod.

For x % 4, you get the following table (for 1-10)

Solution 3:

Modulo (mod, %) is the Remainder operator.

2%2 = 0 (2/2 = 1 remainder 0)
1%2 = 1 (1/2 = 0 remainder 1)
4%2 = 0 (4/2 = 2 remainder 0)
5%2 = 1 (5/2 = 2 remainder 1)

Solution 4:

Much easier if u use bananas and a group of people.

Say you have 1 banana and group of 6 people, this you would express: 1 mod 6 / 1 % 6 / 1 modulo 6.

You need 6 bananas for each person in group to be well fed and happy.

So if you then have 1 banana and need to share it with 6 people, but you can only share if you have 1 banana for each group member, that is 6 persons, then you will have 1 banana (remainder, not shared on anyone in group), the same goes for 2 bananas. Then you will have 2 banana as remainder (nothing is shared).

But when you get 6 bananas, then you should be happy, because then there is 1 banana for each member in group of 6 people, and the remainder is 0 or no bananas left when you shared all 6 bananas on 6 people.

Now, for 7 bananas and 6 people in group, you then will have 7 mod 6 = 1, this because you gave 6 people 1 banana each, and 1 banana is the remainder.

For 12 mod 6 or 12 bananas shared on 6 people, each one will have two bananas, and the remainder is then 0.

Solution 5:

2 / 4 = 0 with a remainder of 2