The divisibility rules allow you to test the divisibility of a number and ease the calculations while dividing large numbers. When you are preparing for competitive exams such as Bank, Railways, and other government exams, the time is crucial and limited.
In such a case, having a good knowledge of these rules of divisibility may help answer the questions without spending extra time. With the divisibility rule, you can quickly check which number is divisible by a number without performing the division.
In today’s tutorial, you will learn how to test divisibility for numbers and see if they are divisible by 2, 3, 4, 5, 7, 11, 13, and other numbers.
So, let’s get started with the rules that allow you to find the divisibility by any number between 2 to 25.
Divisibility rule of 2
If a number has 2,4,6,8, or 0 in its unit place, then the number is divisible by 2. Hence, to test the divisibility by 2, you need to check only the unit place digit and proceed with the divisible.
Note: All the even numbers are divisible by 2.
- 214339 is not divisible by 2 because it has does not has 2,4,6,8, or 0 in the unit place.
- 569958 is divisible by 2 because it has 8 in the unit place.
You might want to check: Maths formulas for Class 10
Divisibility Rule Excercise for 2
Q1. Which of the following number is divisible by 2?
Q2. Rajesh has 262 books. Can he make sets of 2 books each without any book remaining? How many total sets will be there?
Q3. Reena uses 2 white beads to make one multicolored bracelet. If there are 3,863 white beads, can she use them all without a single bead remaining?
Q4. Fill in the blanks to make the statement true
- 246_ _ is not divisible by 2.
- 98_5 is not divisible by 2.
- 43_05_ is divisible by 2.
Q5. How many numbers are there between 10 to 100 which are divisible by 2?
Q6. If a number is not divisible by 2, what should be added to that number to make it divisible by 2?
Q7. If a number is not divisible by 2, what should be subtracted from that number to make it divisible by 2?
Q8. What is the minimum difference between two numbers that are divisible by 2?
Q9. Check if these statements are true:
- If two numbers are divisible by 2, then their sum will also be divisible by 2.
- If two numbers are not divisible by 2, then their sum will not be divisible by 2.
More divisibility rules:
|Divisibility Rules of 3 and 9||Divisibility Rules of 4, 8, and 16|
|Divisibility Rules of 5, 10, and 15||Divisibility Rules of 6, 12, and 14|
|Divisibility Rules of 7, 11, and 13||Divisibility Rules of 17, 18, 19|
|Divisibility Rule of 20 and above numbers|
Frequently Asked Questions (FAQs)
How to learn divisibility rules?
The best way to learn the divisibility rules is by practicing. You may start with one rule and then choose random numbers to practice testing their divisibilities. This is how you may learn all the divisibility rules from 2 to 20.
Which is the easiest divisibility rule?
If you practice, then you will find all the divisibility rules to be easy. But, the divisibility rule of 2 and 10 are the easiest.
How many divisibility rules should I learn?
All the rules are important and you might need all of them. But, remembering the divisibility rules from 2 to 20 is a good idea.
What is the importance of rules of divisibility?
The rules of divisibility are important and helpful as you get to quickly solve the problems without dividing a number. For example, when finding the factors of a large number, you know which number to use if you are aware of the divisibility rule.
I hope that helps! Always remember, that practice makes a person perfect. Hence, to memorize these rules and use them well in the exams, you will need to practice a lot. You can do that by solving questions from sample papers, or competitive exam books, or testing the divisibility of random numbers.
If you have more questions/feedback, do not hesitate to comment below or get in touch with us.