140 LearnersLast updated on May 26th, 2025
Divisibility Rule of 153
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 153.
What is the Divisibility Rule of 153?
The divisibility rule for 153 is a method by which we can find out if a number is divisible by 153 or not without using the division method. To check whether 306 is divisible by 153 with the divisibility rule, follow these steps:
Step 1: Check if the number is divisible by both 9 and 17, as 9 and 17 are factors of 153.
Step 2: For divisibility by 9, sum the digits of the number. For 306, add 3 + 0 + 6 = 9. Since 9 is a multiple of 9, 306 is divisible by 9.
Step 3: For divisibility by 17, divide the number by 17 to check if it leaves no remainder. 306 ÷ 17 = 18 with no remainder. Therefore, 306 is divisible by 17.
Step 4: Since 306 is divisible by both 9 and 17, it is also divisible by 153.
Tips and Tricks for Divisibility Rule of 153
Learning the divisibility rule will help students master the division. Let's learn a few tips and tricks for the divisibility rule of 153.
- Know the multiples of 153: Memorize the multiples of 153 (153, 306, 459, 612, etc.) to quickly check the divisibility.
- Test divisibility by factors: Check the divisibility by both 9 and 17 as 153 is the product of these numbers.
- Repeat the process for large numbers: If you're dealing with large numbers, break them down into smaller parts and check each part for divisibility by both 9 and 17.
- Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 153
The divisibility rule of 153 helps us quickly check if a given number is divisible by 153, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking for both factors.
Ensure you check for divisibility by both 9 and 17, as both conditions must be met for divisibility by 153.
Divisibility Rule of 153 Examples
Problem 1
Is 306 divisible by 153?
Yes, 306 is divisible by 153.
Explanation
To determine if 306 is divisible by 153, consider the properties of 153.
1) Notice that 306 is exactly twice 153 (153 x 2 = 306).
2) Therefore, 306 is divisible by 153.
Problem 2
Check the divisibility rule of 153 for 459.
Yes, 459 is divisible by 153.
Explanation
To check if 459 is divisible by 153:
1) Recognize that 459 equals 153 multiplied by 3 (153 x 3 = 459).
2) Therefore, 459 is divisible by 153.
Problem 3
Is -612 divisible by 153?
Yes, -612 is divisible by 153.
Explanation
To check if -612 is divisible by 153:
1) Ignore the negative sign and consider 612.
2) Verify that 612 equals 153 multiplied by 4 (153 x 4 = 612).
3) Thus, -612 is divisible by 153.
Problem 4
Can 305 be divisible by 153 following the divisibility rule?
No, 305 isn't divisible by 153.
Explanation
To determine if 305 is divisible by 153:
1) Find the nearest multiples of 153 around 305, which are 153 (153 x 1) and 306 (153 x 2).
2) Since 305 is neither 153 nor 306, it is not divisible by 153.
Problem 5
Check the divisibility rule of 153 for 765.
Yes, 765 is divisible by 153.
Explanation
To verify if 765 is divisible by 153:
1) Notice that 765 equals 153 multiplied by 5 (153 x 5 = 765).
2) Therefore, 765 is divisible by 153.
FAQs on Divisibility Rule of 153
1. What is the divisibility rule for 153?
2.How do you check if a number is divisible by 153?
3.Is 459 divisible by 153?
4.What if I get 0 after dividing by 17?
5. Does the divisibility rule of 153 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 153?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 153 with numbers?
8.What role do numbers and Divisibility Rule of 153 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 153 skills?
Important Glossaries for Divisibility Rule of 153
- Divisibility rule: The set of guidelines used to determine if a number can be divided by another number without a remainder.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 153 are 153, 306, 459, etc.
- Factors: Numbers that evenly divide another number. For 153, the factors are 9 and 17.
- Remainder: The amount left over after division when one number doesn't divide another exactly.
- Integer: A whole number that can be positive, negative, or zero.
Explore More numbers
Previous to Divisibility Rule of 153
About BrightChamps in United Kingdom
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
