What is 25 mod 7?

Often represented by the operator "mod", the modulo is a mathematical operation that gives the remainder of an integer division.

The result of 25 mod 7 is 4.

How to compute 25 mod 7?

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:

Remainder = N − ( M × ⌊ N M ⌋ )

(where N is the dividend, M is the divisor and ⌊ N M ⌋ represents the integer part of the quotient)

  1. 25 / 7 = 3.5714285714286
  2. ⌊3.5714285714286⌋ = 3 (We only keep the integer part)
  3. 7 × 3 = 21
  4. 25 - 21 = 4 (Subtracting gives us the remainder)

In short: 25 − (7 × ⌊25 / 7⌋) = 4

Is 25 divisible by 7?

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

Given that the result of 25 mod 7 is 4, this indicates that dividing 25 by 7 leaves a remainder of 4. Therefore, no, since the remainder isn't zero, 25 is not divisible by 7.