What is 2 mod 25?

How to compute 2 mod 25?

The simplest approach is to use the "mod" operator (often denoted as "%" in many programming languages), but you could do it manually in the following way:

$\mathrm{Remainder}=N-(M\times \lfloor \frac{N}{M}\rfloor )$

(where N is the dividend, M is the divisor and $\lfloor \frac{N}{M}\rfloor$ represents the integer part of the quotient)

1. 2 / 25 = 0.08
2. ⌊0.08⌋ = 0 (We only keep the integer part)
3. 25 × 0 = 0
4. 2 - 0 = 2 (Subtracting gives us the remainder)

In short: 2 − (25 × ⌊2 / 25⌋) = 2

Is 2 divisible by 25?

A number is said to be divisible by another number, if the remainder of the division is zero.

Given that the result of 2 mod 25 is 2, this indicates that dividing 2 by 25 leaves a remainder of 2. Therefore, no, since the remainder isn't zero, 2 is not divisible by 25.