149 LearnersLast updated on May 26th, 2025
Divisibility Rule of 157
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 157.
What is the Divisibility Rule of 157?
The divisibility rule for 157 is a method by which we can find out if a number is divisible by 157 or not without using the division method. Check whether 471 is divisible by 157 with the divisibility rule.
Step 1: Calculate the remainder when the last three digits are divided by 157. In 471, the last three digits are 471 itself. The remainder when 471 is divided by 157 is 0, as 471 is exactly three times 157.
Step 2: If the remainder is 0, then the number is divisible by 157. Therefore, 471 is divisible by 157.
Tips and Tricks for Divisibility Rule of 157
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 157.
- Know the multiples of 157: Memorize the multiples of 157 (157, 314, 471, 628, etc.) to quickly check divisibility. If the result of the division is a multiple of 157, then the number is divisible by 157.
- Use large numbers: If the number is large, calculate the remainder of the last three digits when divided by 157. If needed, use this method repeatedly by breaking down the number into smaller parts.
- Verify with the division method: Students can use the division method to verify and cross-check their results. This will help them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 157
The divisibility rule of 157 helps us quickly check if a given number is divisible by 157, but common mistakes like calculation errors 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 calculate the remainder when the last three digits of the number are divided by 157.
Divisibility Rule of 157 Examples
Problem 1
Is 4710 divisible by 157?
Yes, 4710 is divisible by 157.
Explanation
To check if 4710 is divisible by 157, we can use the divisibility rule.
1) Break down the number into smaller chunks or use a known multiple approach.
2) 4710 can be split into 157 × 30, which confirms that it is divisible by 157
Problem 2
Check the divisibility rule of 157 for 942.
No, 942 is not divisible by 157.
Explanation
To check if 942 is divisible by 157, follow these steps:
1) Compare 942 against known multiples of 157.
2) The closest multiple is 157 × 6 = 942, which shows that it is divisible.
Problem 3
Is 314 divisible by 157?
Yes, 314 is divisible by 157.
Explanation
For checking the divisibility of 314 by 157:
1) Recognize the number as a direct multiple of 157.
2) 157 × 2 = 314, which confirms divisibility.
Problem 4
Can 785 be divisible by 157 following the divisibility rule?
No, 785 isn't divisible by 157.
Explanation
To check if 785 is divisible by 157:
1) Estimate using known multiples.
2) 157 × 5 = 785, which means it is indeed divisible.
Problem 5
Check the divisibility rule of 157 for 1256.
No, 1256 is not divisible by 157.
Explanation
To check if 1256 is divisible by 157:
1) Compare 1256 against known multiples of 157.
2) The closest multiple is 157 × 8 = 1256, indicating that it is divisible.
FAQs on Divisibility Rule of 157
1.What is the divisibility rule for 157?
2. How many numbers are there between 1 and 471 that are divisible by 157?
3. Is 628 divisible by 157?
4. What if I get a remainder of 0 after division?
5.Does the divisibility rule of 157 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 157?
7.What are some fun ways kids in United States can practice Divisibility Rule of 157 with numbers?
8.What role do numbers and Divisibility Rule of 157 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 157 skills?
Important Glossaries for Divisibility Rule of 157
- 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 another if it leaves a remainder of 0 after division.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 157 are 157, 314, 471, 628, etc.
- Remainder: The remainder is the amount left over after division when one number doesn't divide the other exactly.
- Division: Division is a mathematical operation where a number is divided into equal parts.
- Integer: An integer is a whole number that can be positive, negative, or zero.
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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.
