Math Problem Statement

Make me modulus question and the answer

Solution

Sure! Here's a modulus question along with its answer:

Question: What is the remainder when 457457 is divided by 1313?

Answer: To find the remainder when 457457 is divided by 1313, you can perform the division:

457÷13=35(quotient)with a remainder of 2.457 \div 13 = 35 \quad \text{(quotient)} \quad \text{with a remainder of } 2.

Therefore, 457mod13=2457 \mod 13 = 2.

Would you like a detailed explanation of how to calculate this step-by-step or have any questions? Here are some related questions for further practice:

  1. What is 987mod23987 \mod 23?
  2. If 763mod19763 \mod 19 is calculated, what is the remainder?
  3. Find the remainder when 10001000 is divided by 1717.
  4. What is 12345mod4512345 \mod 45?
  5. If 99999999 is divided by 1616, what is the remainder?

Tip: When working with modulus, you are essentially finding the remainder after division of one number by another.

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Math Problem Analysis

Mathematical Concepts

Modulus
Division
Remainders

Formulas

a mod b = remainder when a is divided by b

Theorems

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Suitable Grade Level

Grades 6-8