Math Problem Statement

26 mod 7

Solution

To find 26mod726 \mod 7, we need to divide 26 by 7 and find the remainder.

26÷7=3(quotient)remainder526 \div 7 = 3 \quad \text{(quotient)} \quad \text{remainder} \quad 5

So,

26mod7=526 \mod 7 = 5

Would you like more details or have any questions?

Here are 5 related questions to explore:

  1. What is 34mod534 \mod 5?
  2. How can you calculate 49mod649 \mod 6?
  3. What is the remainder when 123÷8123 \div 8?
  4. Explain the general process for finding amodba \mod b.
  5. How does modular arithmetic apply to clock problems?

Tip: Modular arithmetic is often referred to as "clock arithmetic" because it wraps around after reaching a certain number, just like the hours on a clock!

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Math Problem Analysis

Mathematical Concepts

Modular Arithmetic
Division

Formulas

a mod b = a - b * floor(a / b)

Theorems

Division Algorithm

Suitable Grade Level

Grades 6-8