162 LearnersLast updated on May 26th, 2025
Divisibility Rule of 352
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 352.
What is the Divisibility Rule of 352?
The divisibility rule for 352 is a method by which we can determine if a number is divisible by 352 without using the division method. Check whether 1056 is divisible by 352 with the divisibility rule.
Step 1: Break down the number 352 into its prime factors: 352 = 2^5 × 11. Check divisibility by each factor.
Step 2: Check if the number is divisible by 2^5. The last five digits should form a number divisible by 32. In 1056, the last five digits are 01056, which is divisible by 32.
Step 3: Check if the number is divisible by 11. The alternating sum of its digits should be divisible by 11. For 1056, (1 + 5) - (0 + 6) = 0, which is divisible by 11.
Step 4: Since 1056 is divisible by both 32 and 11, it is divisible by 352.
Tips and Tricks for Divisibility Rule of 352
Learning divisibility rules can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 352.
Know the factors of 352:
Memorize the prime factorization of 352 (2^5 and 11) to quickly check divisibility.
Use the rules for smaller factors:
If a number is divisible by both 32 (2^5) and 11, it is divisible by 352.
Practice with examples:
Use different numbers to practice the divisibility rule until the concept is clear.
Use the division method to verify:
Students can use the division method as a way to verify and crosscheck their results. This will help them to confirm their understanding.
Common Mistakes and How to Avoid Them in Divisibility Rule of 352
The divisibility rule of 352 helps us quickly check if a given number is divisible by 352, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking divisibility by both 32 and 11.
Always verify divisibility by both 32 and 11 to ensure the number is divisible by 352.
Mistake 2
Miscalculating alternating sums for 11.
Carefully calculate the alternating sum of digits and check if it is divisible by 11.
Mistake 3
Overlooking digit grouping for 32.
Ensure that the last five digits form a number divisible by 32 for large numbers.
Mistake 4
Not practicing enough with examples.
Regular practice with different examples will help reinforce the steps and avoid confusion.
Mistake 5
Relying on memory instead of calculation.
Always perform the necessary calculations to confirm divisibility, rather than relying solely on memory.
Divisibility Rule of 352 Examples
Problem 1
Is 10560 divisible by 352?
Yes, 10560 is divisible by 352.
Explanation
To check if 10560 is divisible by 352, divide 10560 by 352.
If the quotient is a whole number, then it is divisible.
10560 ÷ 352 = 30. Therefore, 10560 is divisible by 352.
Problem 2
Check if 2464 follows the divisibility rule of 352.
Yes, 2464 is divisible by 352.
Explanation
Divide 2464 by 352 to see if it is divisible.
2464 ÷ 352 = 7. Since the quotient is a whole number, 2464 is divisible by 352.
Problem 3
Is -704 divisible by 352?
Yes, -704 is divisible by 352.
Explanation
For negative numbers, we remove the negative sign and check divisibility.
704 ÷ 352 = 2. Since the quotient is a whole number, -704 is divisible by 352.
Problem 4
Can 1234 be divisible by 352 using the divisibility rule?
No, 1234 is not divisible by 352.
Explanation
Divide 1234 by 352 to determine if it is divisible.
1234 ÷ 352 ≈ 3.5056. Since the quotient is not a whole number, 1234 is not divisible by 352.
Problem 5
Check the divisibility rule of 352 for 1408.
Yes, 1408 is divisible by 352.
Explanation
Divide 1408 by 352 to check divisibility.
1408 ÷ 352 = 4. Since the quotient is a whole number, 1408 is divisible by 352.
FAQs on Divisibility Rule of 352
1.What is the divisibility rule for 352?
2.How many numbers between 1 and 1000 are divisible by 352?
3.Is 704 divisible by 352?
4.What if I get 0 when checking divisibility by 11?
5.Does the divisibility rule of 352 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 352?
7.What are some fun ways kids in United States can practice Divisibility Rule of 352 with numbers?
8.What role do numbers and Divisibility Rule of 352 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 352 skills?
Important Glossary for Divisibility Rule of 352
- Divisibility Rule: A set of guidelines to determine if one number can be divided by another without a remainder.
- Prime Factorization: Breaking down a number into its prime factors. For 352, it is 2^5 × 11.
- Multiples: Results of multiplying a number by an integer. For example, multiples of 352 include 352, 704, 1056, etc.
- Alternating Sum: The sum obtained by adding and subtracting digits in an alternating pattern to check divisibility by 11.
- Verification: The process of confirming a result by rechecking, often using the division method.
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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.
