Modulos and Numbers

Question 1

What does A|B mean?

Answer 1

A is a factor of B

Question 2

What does A ≡ B mod 2 mean?

Answer 2

A - B mod 2 = 0 (a and b have the same remainder when divided by n)

Question 3

If a ≡ b mod n and c ≡ d mod n

Answer 3

then (a + d)%n = (b + c)%n or
(ad) % n = (bc) % n

Question 4

what is the additive property of modulus, (a+c) % n =

Answer 4

[(a%n) + (c%n)] % n

Question 5

what is the multiplicative property of modulus, (a⋅c) % n =

Answer 5

[(a%n) ⋅ (c%n)] % n