New divisibility rule! (30,000 of them)

Introduction

In this tutorial, we will explore a new divisibility rule that can help you determine whether numbers are divisible by a range of values, extending up to 30,000. Understanding these rules can simplify calculations in mathematics and enhance your problem-solving skills. Let's dive into the main steps for applying these divisibility tests.

Step 1: Understanding Divisibility Rules

Divisibility rules provide shortcuts to determine if a number can be divided by another without leaving a remainder. Here are some fundamental rules for common divisors:

• Divisibility by 2: A number is divisible by 2 if it is even (last digit is 0, 2, 4, 6, or 8).
• Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
• Divisibility by 5: A number is divisible by 5 if it ends in 0 or 5.
• Divisibility by 10: A number is divisible by 10 if it ends in 0.

Step 2: Exploring Advanced Divisibility Tests

For numbers greater than 10, additional rules can be applied. Here are examples of advanced tests:

• Divisibility by 4: A number is divisible by 4 if the last two digits form a number that is divisible by 4.
• Divisibility by 6: A number is divisible by 6 if it is divisible by both 2 and 3.

For complete rules up to 30,000, you can access the comprehensive list provided in the video description.

Step 3: Applying the Rules

To apply these rules effectively:

1. Identify the number you want to test for divisibility.
2. Select the appropriate rule based on the divisor.
3. Perform the necessary calculations or checks to confirm divisibility.

Example:

To check if 124 is divisible by 4:

• Look at the last two digits, which are 24.
• Since 24 is divisible by 4, then 124 is also divisible by 4.

Step 4: Practice with Real-World Applications

Use these rules in practical scenarios:

• Quick mental math during shopping to determine total costs.
• Simplifying fractions in math class.
• Solving puzzles or problems that require divisibility checks.

Conclusion

Mastering divisibility rules can greatly enhance your mathematical skills and efficiency. By practicing these tests, you'll be able to quickly determine the divisibility of numbers and apply these techniques in various situations. For further learning, refer to the complete list of divisibility tests available in the video description, and consider practicing with different numbers to reinforce your understanding.