161 LearnersLast updated on May 26th, 2025
Divisibility Rule of 151
The divisibility rule is a way to determine 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 151.
What is the Divisibility Rule of 151?
The divisibility rule for 151 is a method by which we can find out if a number is divisible by 151 or not without using the division method. Check whether 302 is divisible by 151 with the divisibility rule.
Step 1: Multiply the last digit of the number by 151, here in 302, 2 is the last digit, multiply it by 151. 2 × 151 = 302
Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit. i.e., 30 - 302 = -272.
Step 3: Since -272 is not a multiple of 151, 302 is not divisible by 151. If the result from step 2 is a multiple of 151, then the number is divisible by 151.
Tips and Tricks for Divisibility Rule of 151
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 151.
- Know the multiples of 151: Memorize the multiples of 151 (151, 302, 453, 604…etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 151, then the number is divisible by 151.
- Use the 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 151. For example: Check if 1213 is divisible by 151 using the divisibility test. Multiply the last digit by 151, i.e., 3 × 151 = 453. Subtract the remaining digits excluding the last digit by 453, 121 - 453 = -332. Still, -332 is a large number, hence we will repeat the process again and multiply the last digit by 151, 2 × 151 = 302. Now subtracting 302 from the remaining numbers excluding the last digit, 12 - 302 = -290. As -290 is not a multiple of 151, 1213 is not divisible by 151.
- 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 151
The divisibility rule of 151 helps us to quickly check if the given number is divisible by 151, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid errors.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which are multiplying the last digit by 151 and then subtracting the result from the remaining digits, excluding the last digits, and checking whether it is a multiple of 151.
Divisibility Rule of 151 Examples
Problem 1
Is 302 divisible by 151?
Yes, 302 is divisible by 151.
Explanation
To check if 302 is divisible by 151, follow these steps:
1) Divide 302 by 151.
2) 302 ÷ 151 equals 2 with no remainder.
3) Since there is no remainder, 302 is divisible by 151.
Problem 2
Check the divisibility of 453 for 151.
No, 453 is not divisible by 151.
Explanation
To determine the divisibility of 453 by 151:
1) Divide 453 by 151.
2) 453 ÷ 151 equals 3 with a remainder.
3) Since there is a remainder, 453 is not divisible by 151.
Problem 3
Is -755 divisible by 151?
Yes, -755 is divisible by 151.
Explanation
To check if -755 is divisible by 151, simply divide the absolute value:
1) Divide 755 by 151.
2) 755 ÷ 151 equals 5 with no remainder.
3) Since there is no remainder, -755 is divisible by 151
Problem 4
Can 601 be divisible by 151 following divisibility rules?
No, 601 isn't divisible by 151.
Explanation
To check if 601 is divisible by 151, perform the division:
1) Divide 601 by 151.
2) 601 ÷ 151 equals 3 with a remainder.
3) Since there is a remainder, 601 is not divisible by 151.
Problem 5
Check the divisibility of 1510 by 151
Yes, 1510 is divisible by 151.
Explanation
To check the divisibility of 1510 by 151:
1) Divide 1510 by 151.
2) 1510 ÷ 151 equals 10 with no remainder.
3) Since there is no remainder, 1510 is divisible by 151.
FAQs on Divisibility Rule of 151
1.What is the divisibility rule for 151?
2.How many numbers are there between 1 and 1000 that are divisible by 151?
3. Is 302 divisible by 151?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 151 apply to all the integers?
6.How can children in Thailand use numbers in everyday life to understand Divisibility Rule of 151?
7.What are some fun ways kids in Thailand can practice Divisibility Rule of 151 with numbers?
8.What role do numbers and Divisibility Rule of 151 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Divisibility Rule of 151 skills?
Important Glossaries for Divisibility Rule of 151
- 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 151 if following the rule gives a result that is a multiple of 151.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 151 are 151, 302, 453, 604, 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: Verification is the process of confirming a result, often by using an alternate method such as division to ensure accuracy.
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About BrightChamps in Thailand
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.
