What is 55 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 55 mod 7 is 6.

How to compute 55 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. 55 / 7 = 7.8571428571429
  2. ⌊7.8571428571429⌋ = 7 (We only keep the integer part)
  3. 7 × 7 = 49
  4. 55 - 49 = 6 (Subtracting gives us the remainder)

In short: 55 − (7 × ⌊55 / 7⌋) = 6

Is 55 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 55 mod 7 is 6, this indicates that dividing 55 by 7 leaves a remainder of 6. Therefore, no, since the remainder isn't zero, 55 is not divisible by 7.