What is 74 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 74 mod 7 is 4.

How to compute 74 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. 74 / 7 = 10.571428571429
  2. ⌊10.571428571429⌋ = 10 (We only keep the integer part)
  3. 7 × 10 = 70
  4. 74 - 70 = 4 (Subtracting gives us the remainder)

In short: 74 − (7 × ⌊74 / 7⌋) = 4

Is 74 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 74 mod 7 is 4, this indicates that dividing 74 by 7 leaves a remainder of 4. Therefore, no, since the remainder isn't zero, 74 is not divisible by 7.