DIVISIBILITY

Divisibility

Definition Of Divisibility

A number is divisible, if the given divisor divides the number with no remainder.

More About Divisibility

The divisibility of a number depends on the number (that divides it)/ by which it is being divided.

Example of Divisibility

If the last digit of a number is divisible by 2, then the number is divisible by 2. For example: 8246 is divisible by 2 as the last digit of it, i.e. 6, is divisible by 2..
If the sum of the digits of a number is divisible by 3, then the number is divisible by 3. For example: In 4257, 4 + 2 + 5 + 7 = 18 is divisible by 3, so 4257 is divisible by 3.

Video Examples: Divisibility Rule for Seven (TANTON Mathematics)

Solved Example on Divisibility

Ques: Identify the number that is divisible by 3.

Choices:

A. 225
B. 125
C. 205
D. 148
Correct Answer: A

Solution:

Step 1: If the number has digits whose sum is divisible by 3, then it is divisible by 3. [Divisibility rule]
Step 2: 2 + 2 + 5 = 9 [Add the digits in the number 225.]
Step 3: 9 is divisible by 3. So, 225 is divisible by 3.

Quick Summary

Divisibility means a number can be divided evenly.
Check the divisibility rules for different numbers like 2, 3, 5, etc.

\[ a \div b = c \text{, where } c \text{ is an integer} \]

🍎 Teacher Insights

Use real-world examples and visual aids to explain divisibility rules. Encourage students to practice with various numbers.

🎓 Prerequisites

Basic Arithmetic
Addition
Multiplication

Check Your Knowledge

Q1: Which of the following numbers is divisible by 3?

225 125 205 148

Frequently Asked Questions

Q: What does it mean for a number to be divisible?
A: It means that when you divide one number by another, the result is a whole number with no remainder.

Q: How can I tell if a number is divisible by 3?
A: If the sum of its digits is divisible by 3, then the number itself is divisible by 3.