Divisibility and Divisibility Rules
Learn the divisibility rules to check if a number is divisible by 2, 3, 4, 5, 6, 8, 9, or 10. Let’s get started! 🚀
Video Lesson
Watch and learn the basics
Flashcards
Review key concepts visually
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🛎️ What Does Divisible Mean?
- A number is divisible if it divides exactly with no remainder.
- For example, 12 ÷ 3 = 4 (divisible), but 13 ÷ 3 = 4 r 1 (not divisible).
🛎️ Divisibility Rules for 2, 4, and 8
- A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
- A number is divisible by 4 if the last two digits are divisible by 4.
- A number is divisible by 8 if the last three digits are divisible by 8.
🛎️ Divisibility Rules for 3, 6, and 9
- A number is divisible by 3 if the sum of its digits is divisible by 3.
- A number is divisible by 6 if it is divisible by both 2 and 3.
- A number is divisible by 9 if the sum of its digits is divisible by 9.
🛎️ Divisibility Rules for 5 and 10
- A number is divisible by 5 if the last digit is 0 or 5.
- A number is divisible by 10 if the last digit is 0.
Practice Questions
Test your understanding
Is 124 divisible by 2?
Correct! 🎉 +10 pointsNot quite right
124 is an even number, which means it is divisible by 2. Any number that ends in 0, 2, 4, 6, or 8 is divisible by 2.
Which of the following numbers is divisible by 5?
Correct! 🎉 +10 pointsNot quite right
A number is divisible by 5 if it ends in 0 or 5. Among the options, only 40 ends in 0, making it divisible by 5.
Is 542 divisible by 3?
Correct! 🎉 +20 pointsNot quite right
To check if 542 is divisible by 3, add its digits: . Since 11 is not divisible by 3, 542 is not divisible by 3.
Is 675 divisible by 9?
Correct! 🎉 +20 pointsNot quite right
To check if 675 is divisible by 9, add its digits: . Since 18 is divisible by 9, 675 is also divisible by 9.
Which of the following numbers is divisible by 8?
Correct! 🎉 +20 pointsNot quite right
To check if a number is divisible by 8, the last three digits must be divisible by 8. Only 432 meets this condition.
Is 528 divisible by 6?
Correct! 🎉 +30 pointsNot quite right
For a number to be divisible by 6, it must be divisible by both 2 and 3. Since 528 is even (divisible by 2) and is divisible by 3, 528 is divisible by 6.
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