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121 LearnersLast updated on February 18th, 2025
Divisibility Rule of 952
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 952.
What is the Divisibility Rule of 952?
The divisibility rule for 952 is a method by which we can find out if a number is divisible by 952 or not without using the division method. Check whether 95200 is divisible by 952 with the divisibility rule.
Step 1: Check if the number is divisible by 8 (since 952 is a multiple of 8). For 95200, the last three digits are '200', which is divisible by 8 (as 200 ÷ 8 = 25).
Step 2: Check if the number is divisible by 119 (since 952 = 8 × 119). For 95200, sum the digits alternately, starting from the rightmost digit: (0 + 2 + 9) - (0 + 5 + 0) = 11 - 5 = 6. Since 6 is not divisible by 119, 95200 is not divisible by 952.
Step 3: Since the result from step 2 is not divisible by 119, the number is not divisible by 952.
Tips and Tricks for Divisibility Rule of 952
Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 952.
Know the factors of 952:
Recognize that 952 = 8 × 119.
Check divisibility by 8:
The last three digits of the number should be divisible by 8.
Use the alternating sum method for 119:
For 119, use the alternating sum and difference method to check divisibility.
Repeat the process for large numbers:
Continue checking divisibility by breaking down the number until you reach a smaller number.
Use the division method to verify:
Use division to cross-check your results and ensure accuracy.
Common Mistakes and How to Avoid Them in Divisibility Rule of 952
The divisibility rule of 952 helps us quickly check if a number is divisible by 952, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which include checking divisibility by 8 and using the alternating sum method for 119.
Divisibility Rule of 952 Examples
Problem 1
Is 3808 divisible by 952?
Yes, 3808 is divisible by 952.
Explanation
To check if 3808 is divisible by 952, we can try dividing 3808 by 952.
1) Divide 3808 by 952, which equals 4 exactly.
2) Since the division result is a whole number (4), 3808 is divisible by 952.
Problem 2
Check the divisibility rule of 952 for 1904.
Yes, 1904 is divisible by 952.
Explanation
To determine if 1904 is divisible by 952, we can perform the division.
1) Divide 1904 by 952, which equals 2 exactly.
2) Since the division yields a whole number (2), 1904 is divisible by 952.
Problem 3
Is 4760 divisible by 952?
No, 4760 is not divisible by 952.
Explanation
To check if 4760 is divisible by 952, we perform the division.
1) Divide 4760 by 952, which is approximately 5.0021.
2) Since the result is not a whole number, 4760 is not divisible by 952.
Problem 4
Can 5712 be divisible by 952?
Yes, 5712 is divisible by 952.
Explanation
To verify if 5712 is divisible by 952, we divide 5712 by 952.
1) Perform the division, which results in 6 exactly.
2) As the division results in a whole number (6), 5712 is divisible by 952.
Problem 5
Check the divisibility rule of 952 for 2856.
Yes, 2856 is divisible by 952.
Explanation
To check divisibility, divide 2856 by 952.
1) Division gives a result of 3 exactly.
2) Since the result is a whole number (3), 2856 is divisible by 952.
FAQs on Divisibility Rule of 952
1.What is the divisibility rule for 952?
2.How do you check if a number is divisible by 8?
3.Is 1904 divisible by 952?
4.What if I get a non-integer result after checking divisibility?
5.Does the divisibility rule of 952 apply to all integers?
Important Glossaries for Divisibility Rule of 952
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing actual division.
- Factors: Numbers that multiply together to form another number. For 952, the factors are 8 and 119.
- Alternating sum method: A technique for checking divisibility involving alternating addition and subtraction of digits.
- Integer: A whole number, positive or negative, including zero.
- Division: A mathematical operation where a number is divided by another to find how many times one number is contained within the other.
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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.
