146 LearnersLast updated on May 26th, 2025
Divisibility Rule of 158
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 158.
What is the Divisibility Rule of 158?
The divisibility rule for 158 is a method by which we can find out if a number is divisible by 158 or not without using the division method. Check whether 4742 is divisible by 158 using the divisibility rule.
Step 1: Divide the number into two parts, the last two digits and the remaining digits. In 4742, 42 is the last two digits and 47 is the remaining.
Step 2: Multiply the last two digits by 2. So, 42 × 2 = 84.
Step 3: Subtract the result from Step 2 from the remaining part. That is, 47 - 84 = -37.
Step 4: If the result is a multiple of 158, then the number is divisible by 158. In this case, since -37 is not a multiple of 158, 4742 is not divisible by 158.
Tips and Tricks for Divisibility Rule of 158
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 158.
- Know the multiples of 158: Memorize the multiples of 158 (158, 316, 474, 632…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 158, the number is divisible by 158.
- Use the negative numbers: If the result we get after the subtraction is negative, we will 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 158. For example: Check if 3164 is divisible by 158 using the divisibility test. Divide the number into two parts: 64 and 31. Multiply the last two digits by 2, i.e., 64 × 2 = 128. Subtract the remaining digits excluding the last two digits by 128, 31 - 128 = -97. Since -97 is not a multiple of 158, repeat the process with -97 as the new number. 97 × 2 = 194. Subtracting 194 from 0 results in -194. Since -194 is still not a multiple of 158, we conclude that 3164 is not divisible by 158.
- Use the division method to verify: Students can use the division method to verify and crosscheck their results. This will help them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 158
The divisibility rule of 158 helps us quickly check if a given number is divisible by 158, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps by multiplying the last two digits by 2 and then subtracting the result from the remaining digits excluding the last two digits, and checking whether it is a multiple of 158
Divisibility Rule of 158 Examples
Problem 1
Is 474 divisible by 158?
Yes, 474 is divisible by 158.
Explanation
To check if 474 is divisible by 158, divide 474 by 158. The result is 3, which is an integer, so 474 is divisible by 158.
Problem 2
Check the divisibility rule of 158 for 632
No, 632 is not divisible by 158.
Explanation
To check the divisibility of 632 by 158, divide 632 by 158. The result is approximately 4.0, which is not an integer, so 632 is not divisible by 158.
Problem 3
Is -158 divisible by 158?
Yes, -158 is divisible by 158.
Explanation
To check if -158 is divisible by 158, divide -158 by 158. The result is -1, which is an integer, so -158 is divisible by 158.
Problem 4
Can 316 be divisible by 158 following the divisibility rule?
Yes, 316 is divisible by 158.
Explanation
To check if 316 is divisible by 158, divide 316 by 158. The result is 2, which is an integer, so 316 is divisible by 158.
Problem 5
Check the divisibility rule of 158 for 790.
Yes, 790 is divisible by 158.
Explanation
To check the divisibility of 790 by 158, divide 790 by 158. The result is 5, which is an integer, so 790 is divisible by 158.
FAQs on Divisibility Rule of 158
1.What is the divisibility rule for 158?
2. How many numbers are there between 1 and 1000 that are divisible by 158?
3.Is 474 divisible by 158?
4.What if I get 0 after subtraction?
5.Does the divisibility rule of 158 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 158?
7.What are some fun ways kids in United States can practice Divisibility Rule of 158 with numbers?
8.What role do numbers and Divisibility Rule of 158 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 158 skills?
Important Glossaries for Divisibility Rule of 158
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number or not.
- Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 158 are 158, 316, 474, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: A process of finding the difference between two numbers by reducing one number from another.
- Verification: The process of checking the correctness of a result, often done through division in this context.
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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.
