Record the remainders of 13 divided by 1722, 44 divided by 4896, and 65 divided by 99521

Let's calculate the remainders for each division:

1. **13 divided by 1722**  
   The remainder is the result of \(13 \mod 1722\).  
   Since 13 is smaller than 1722, the remainder is 13.

2. **44 divided by 4896**  
   The remainder is the result of \(44 \mod 4896\).  
   Since 44 is smaller than 4896, the remainder is 44.

3. **65 divided by 99521**  
   The remainder is the result of \(65 \mod 99521\).  
   Since 65 is smaller than 99521, the remainder is 65.

So, the remainders are:
- 13
- 44
- 65

Would you like more details or have any questions?

Here are five related questions you might find interesting:
1. What happens if the divisor is smaller than the dividend?
2. How can you calculate the remainder when the dividend is much larger than the divisor?
3. What is the difference between division with remainder and modular arithmetic?
4. How can remainders be used in solving congruences?
5. What is the significance of remainders in number theory?

**Tip:** Remember that when dividing two numbers where the dividend is smaller than the divisor, the remainder will always be the dividend itself.

Explore how to calculate remainders for division problems such as 13 mod 1722, 44 mod 4896, and 65 mod 99521. Understand the basics of modular arithmetic and learn the step-by-step process to find remainders. Suitable for students in Grades 7-9.

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