Divisibility Rules for Numbers 2 to 11 Simplified What are Divisibility Rules? Divisibility rules help us determine whether a number is divisible by a gi...
What are Divisibility Rules?
Divisibility rules help us determine whether a number is divisible by a given number. A number is divisible by another number if the remainder is zero when the two numbers are divided.
Divisibility Rules for Numbers 2 to 11:
Number 2: All even numbers are divisible by 2. For example, 4, 6, 8, 10 are divisible by 2.
Number 3: All multiples of 3 are divisible by 3. For example, 3, 6, 9, 12 are divisible by 3.
Numbers 4, 5, 6, 7, and 8: These numbers are called composite because they are divisible by two or more different numbers. Examples include 4, 5, 6, 7, and 8.
Number 9: The only composite number divisible by 9 is 9 itself.
Numbers 10 and 11: These numbers are called perfect. A perfect number is divisible by all its distinct positive factors, including 1 and itself. Examples include 12, 15, and 21 are perfect.
How to Apply the Rules:
Identify the factors of the target number. This can be done by listing all the whole numbers from 1 to the target number.
Check if the number is divisible by any of the factors. If it is divisible by any of them, the number is composite.
If the number is not divisible by any of the factors, it is divisible by 1 and itself. This means it is a perfect number.
Examples:
12 is divisible by 2, 3, and 4, so it is composite.
15 is divisible by 3 and 5, so it is composite.
24 is divisible by 1, 2, 3, and 4, so it is composite.
12 is divisible by 2 and 3, so it is divisible by both 2 and 3, and is therefore a perfect number