divisibility rules worksheet

Guri Bee

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22-10-2024

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Master the Art of Divisibility: A Worksheet Guide

Understanding divisibility rules is a key skill in elementary mathematics, streamlining calculations and fostering a deeper understanding of numbers. This article will guide you through the essential divisibility rules, using examples from a comprehensive worksheet found on GitHub [Link to the GitHub repository].

What are Divisibility Rules?

Divisibility rules are shortcuts to determine if a number is divisible by another number without performing long division. They provide a quick and efficient way to check for factors, making calculations smoother and saving time.

Key Divisibility Rules

Let's explore the most common divisibility rules, illustrated with examples from the GitHub worksheet:

1. Divisibility by 2:

• Rule: A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).
• Example from Worksheet: 426 is divisible by 2 because the last digit, 6, is even.

2. Divisibility by 3:

• Rule: A number is divisible by 3 if the sum of its digits is divisible by 3.
• Example from Worksheet: 729 is divisible by 3 because 7 + 2 + 9 = 18, and 18 is divisible by 3.

3. Divisibility by 4:

• Rule: A number is divisible by 4 if the number formed by the last two digits is divisible by 4.
• Example from Worksheet: 1324 is divisible by 4 because 24 is divisible by 4.

4. Divisibility by 5:

• Rule: A number is divisible by 5 if its last digit is 0 or 5.
• Example from Worksheet: 605 is divisible by 5 because the last digit is 5.

5. Divisibility by 6:

• Rule: A number is divisible by 6 if it is divisible by both 2 and 3.
• Example from Worksheet: 312 is divisible by 6 because it's even (divisible by 2) and the sum of its digits (3 + 1 + 2 = 6) is divisible by 3.

6. Divisibility by 8:

• Rule: A number is divisible by 8 if the number formed by the last three digits is divisible by 8.
• Example from Worksheet: 2568 is divisible by 8 because 568 is divisible by 8.

7. Divisibility by 9:

• Rule: A number is divisible by 9 if the sum of its digits is divisible by 9.
• Example from Worksheet: 819 is divisible by 9 because 8 + 1 + 9 = 18, and 18 is divisible by 9.

8. Divisibility by 10:

• Rule: A number is divisible by 10 if its last digit is 0.
• Example from Worksheet: 540 is divisible by 10 because the last digit is 0.

Putting It to Practice

The GitHub worksheet provides a variety of exercises for applying these rules. You can:

• Identify numbers divisible by a specific number.
• Determine factors of given numbers.
• Solve problems involving divisibility concepts.

Beyond the Worksheet:

Understanding divisibility rules goes beyond memorization. It helps you:

• Simplify fractions: You can quickly find the greatest common factor (GCF) using divisibility rules.
• Perform mental calculations: You can estimate sums and products by applying these rules.
• Develop problem-solving skills: Understanding divisibility helps you break down complex problems into simpler steps.

Conclusion:

By mastering divisibility rules, you can unlock a powerful tool in your mathematical toolbox. Remember, practice makes perfect! Use the GitHub worksheet as a starting point and explore various examples to solidify your understanding. These shortcuts will make your mathematical journey smoother and more enjoyable.