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126 LearnersLast updated on February 18th, 2025
Divisibility Rule of 957
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 957.
What is the Divisibility Rule of 957?
The divisibility rule for 957 is a method by which we can find out if a number is divisible by 957 or not without using the division method. Check whether 1914 is divisible by 957 with the divisibility rule.
Step 1: Break down 957 into its prime factors: 3, 11, and 29. A number is divisible by 957 if it is divisible by all these prime factors.
Step 2: Check divisibility by 3: Add the digits of the number. If the sum is divisible by 3, the number is divisible by 3. For 1914, 1+9+1+4=15, which is divisible by 3.
Step 3: Check divisibility by 11: Subtract the sum of the digits in odd positions from the sum of the digits in even positions. If the result is a multiple of 11, the number is divisible by 11. For 1914, (1+1)-(9+4)=-11, which is a multiple of 11.
Step 4: Check divisibility by 29: This step is more intricate, but you can use long division or a calculator to verify. For practical purposes, if a number is large, it's often checked directly.
Step 5: Since 1914 is divisible by 3 and 11, you would perform a direct check for 29, confirming the divisibility by 957.
Tips and Tricks for Divisibility Rule of 957
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 957.
Know the multiples of 957:
Memorize the multiples of 957 (957, 1914, 2871, etc.) to quickly check divisibility. If the number is not readily recognizable, break it down by the prime factors.
Use prime factors:
For large numbers, check divisibility using the prime factors 3, 11, and 29 separately. This simplifies the process.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach small numbers that are divisible by 3, 11, and 29.
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 957
The divisibility rule of 957 helps us to quickly check if the given number is divisible by 957, 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 include checking divisibility by 3, 11, and 29.
Divisibility Rule of 957 Examples
Problem 1
Is 1914 divisible by 957?
Yes, 1914 is divisible by 957.
Explanation
To determine if 1914 is divisible by 957, consider the following steps:
1) Divide the number by 957 directly, 1914 ÷ 957 = 2.
2) Since the division results in a whole number, 1914 is divisible by 957.
Problem 2
Check the divisibility rule of 957 for 2871.
Yes, 2871 is divisible by 957.
Explanation
To check divisibility, we can perform direct division:
1) Divide 2871 by 957, 2871 ÷ 957 = 3.
2) The result is a whole number, indicating that 2871 is divisible by 957.
Problem 3
Is -4785 divisible by 957?
No, -4785 is not divisible by 957.
Explanation
Check divisibility by removing the negative sign and dividing:
1) Consider the absolute value, 4785 ÷ 957 = 5.
2) The result is not a whole number, indicating -4785 is not divisible by 957.
Problem 4
Can 5737 be divisible by 957?
No, 5737 isn't divisible by 957.
Explanation
To determine divisibility:
1) Directly divide 5737 by 957, 5737 ÷ 957 ≈ 5.996.
2) The result isn't a whole number, so 5737 isn't divisible by 957.
Problem 5
Check the divisibility rule of 957 for 9570.
Yes, 9570 is divisible by 957.
Explanation
For divisibility, perform the following:
1) Divide 9570 by 957, 9570 ÷ 957 = 10.
2) The result is a whole number, confirming that 9570 is divisible by 957.
FAQs on Divisibility Rule of 957
1.What is the divisibility rule for 957?
2.How many numbers are there between 1 and 10000 that are divisible by 957?
3.Is 3828 divisible by 957?
4.What if I get 0 after checking?
5.Does the divisibility rule of 957 apply to all integers?
Important Glossaries for Divisibility Rule of 957
- 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 3 if the sum of its digits is divisible by 3.
- Prime Factors: The prime numbers that multiply together to get the original number. For 957, the prime factors are 3, 11, and 29.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 957 are 957, 1914, 2871, etc.
- Verification: The process of confirming the result using an alternative method, such as direct division.
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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.
