155 LearnersLast updated on May 26th, 2025
Divisibility Rule of 149
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 149.
What is the Divisibility Rule of 149?
The divisibility rule for 149 is a method by which we can find out if a number is divisible by 149 or not without using the division method. Check whether 22351 is divisible by 149 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 22351, 1 is the last digit; multiply it by 2. 1 × 2 = 2
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 2235 – 2 = 2233.
Step 3: As it is shown that 2233 is not a multiple of 149, the number is not divisible by 149. If the result from step 2 is a multiple of 149, then the number is divisible by 149.
Tips and Tricks for Divisibility Rule of 149
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 149.
- Know the multiples of 149: Memorize the multiples of 149 (149, 298, 447, 596, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 149, then the number is divisible by 149.
- Use negative numbers: If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 149. For example, check if 7452 is divisible by 149 using the divisibility test. Multiply the last digit by 2, i.e., 2 × 2 = 4. Subtract the remaining digits excluding the last digit by 4, 745 – 4 = 741. Still, 741 is a large number, hence we will repeat the process again and multiply the last digit by 2, 1 × 2 = 2. Now subtracting 2 from the remaining numbers excluding the last digit, 74 – 2 = 72. As 72 is not a multiple of 149, 7452 is not divisible by 149.
- Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 149
The divisibility rule of 149 helps us to quickly check if the given number is divisible by 149, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that are multiplying the last digit by 2 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 149.
Divisibility Rule of 149 Examples
Problem 1
Is 298 divisible by 149?
Yes, 298 is divisible by 149.
Explanation
To determine if 298 is divisible by 149, we can perform a simple division:
1) Divide 298 by 149, which results in exactly 2.
2) Since the division results in an integer without a remainder, 298 is divisible by 149.
Problem 2
Check the divisibility rule of 149 for 1490
Check the divisibility rule of 149 for 1490
Explanation
For checking the divisibility of 1490 by 149:
1) Divide 1490 by 149, which results in exactly 10.
2) Since the division is exact with no remainder, 1490 is divisible by 149.
Problem 3
Is -745 divisible by 149?
Yes, -745 is divisible by 149.
Explanation
To check if -745 is divisible by 149, remove the negative sign and check the positive value:
1) Divide 745 by 149, which results in exactly 5.
2) Since the division results in an integer with no remainder, -745 is divisible by 149.
Problem 4
Can 300 be divisible by 149 following the divisibility rule?
No, 300 isn't divisible by 149.
Explanation
To check if 300 is divisible by 149:
1) Divide 300 by 149, which results in approximately 2.0134.
2) Since the division does not result in an integer, 300 is not divisible by 149
Problem 5
Check the divisibility rule of 149 for 2235.
Yes, 2235 is divisible by 149.
Explanation
To check the divisibility of 2235 by 149:
1) Divide 2235 by 149, which results in exactly 15.
2) Since the division results in an integer with no remainder, 2235 is divisible by 149.
FAQs on Divisibility Rule of 149
1.What is the divisibility rule for 149?
2. How many numbers are there between 1 and 1000 that are divisible by 149?
3. Is 298 divisible by 149?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 149 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 149?
7.What are some fun ways kids in United States can practice Divisibility Rule of 149 with numbers?
8.What role do numbers and Divisibility Rule of 149 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 149 skills?
Important Glossaries for Divisibility Rule of 149
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with an even number.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 149 are 149, 298, 447, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers, by reducing one number from another.
- Verification: The process of confirming the accuracy of results, often through an alternative method like division.
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About BrightChamps in United States
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.
