218 LearnersLast updated on May 26th, 2025
Divisibility Rule of 464
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 464.
What is the Divisibility Rule of 464?
The divisibility rule for 464 is a method by which we can find out if a number is divisible by 464 or not without using the division method. Check whether 928 is divisible by 464 with the divisibility rule.
Step 1: Since 464 is a composite number, break it down into its prime factors. The prime factors of 464 are 2 and 29. Therefore, check the divisibility of the number with these factors.
Step 2: Check if 928 is divisible by 2. As 928 is an even number, it is divisible by 2.
Step 3: Check if the number is divisible by 29. Divide 928 by 29 to see if it results in a whole number. 928 ÷ 29 = 32, which is a whole number.
Step 4: Since 928 is divisible by both 2 and 29, it is divisible by 464.
Tips and Tricks for Divisibility Rule of 464
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 464.
- Know the factors of 464: Memorize the factors of 464 (2, 29) to quickly check divisibility. If a number is divisible by both factors, it is divisible by 464.
- Use multiplication to verify: Multiply the result of division by the divisor to check accuracy. For example, 32 × 29 = 928 confirms that 928 is divisible by 29 and so by 464 when also divisible by 2.
- Apply the rule to larger numbers: Break down larger numbers and apply the same factorization method. For instance, check if 1856 is divisible by 464 by confirming divisibility by both 2 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 464
The divisibility rule of 464 helps us quickly check if a number is divisible by 464, but common mistakes like calculation errors can lead to incorrect results. 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 checking divisibility by each prime factor: 2 and 29.
Mistake 2
Only checking divisibility by one factor.
Ensure that the number is divisible by both 2 and 29 for it to be divisible by 464.
Mistake 3
Assuming even numbers are automatically divisible by 464.
Remember that a number must also be divisible by 29, not just 2, to be divisible by 464.
Mistake 4
Not considering all factors.
Always check divisibility with all prime factors of 464.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget the process. Regular practice can help avoid this error.
Divisibility Rule of 464 Examples
Problem 1
Is a batch of 928 cookies divisible into boxes of 464 cookies each?
Yes, 928 is divisible by 464.
Explanation
To check the divisibility by 464:
1) Divide 928 by 464.
2) The quotient is 2, with no remainder.
3) Hence, 928 is divisible by 464.
Problem 2
Can a shipment of 1392 books be evenly packed into containers holding 464 books each?
Yes, 1392 is divisible by 464.
Explanation
For checking divisibility by 464:
1) Divide 1392 by 464.
2) The quotient is 3, with no remainder.
3) Thus, 1392 is divisible by 464.
Problem 3
Is a total of -464 candies divisible among 464 children?
Yes, -464 is divisible by 464.
Explanation
To check if -464 is divisible by 464:
1) Ignore the negative sign for divisibility purposes.
2) Divide 464 by 464.
3) The quotient is 1, with no remainder.
4) Therefore, -464 is divisible by 464.
Problem 4
Is a collection of 1000 stamps divisible by 464?
No, 1000 is not divisible by 464.
Explanation
For checking divisibility by 464:
1) Divide 1000 by 464.
2) The quotient is approximately 2.155, with a remainder.
3) Therefore, 1000 is not divisible by 464.
Problem 5
Can 1856 be divided equally into sections of 464 units?
Yes, 1856 is divisible by 464.
Explanation
To check if 1856 is divisible by 464:
1) Divide 1856 by 464.
2) The quotient is 4, with no remainder.
3) Therefore, 1856 is divisible by 464.
FAQs on Divisibility Rule of 464
1.What is the divisibility rule for 464?
2.How many numbers are there between 1 and 1000 that are divisible by 464?
3.Is 928 divisible by 464?
4.What if I get a remainder after dividing?
5.Does the divisibility rule of 464 apply to all integers?
6.How can children in Oman use numbers in everyday life to understand Divisibility Rule of 464?
7.What are some fun ways kids in Oman can practice Divisibility Rule of 464 with numbers?
8.What role do numbers and Divisibility Rule of 464 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Divisibility Rule of 464 skills?
Important Glossaries for Divisibility Rule of 464
- Divisibility rule: A set of rules used to determine if one number is divisible by another without performing division.
- Prime factors: The prime numbers that multiply together to get a composite number. For 464, they are 2 and 29.
- Composite number: A number that has more than two factors. Example: 464.
- Whole number: Non-negative numbers without fractions or decimals.
- Remainder: The amount left over after division when a number cannot be evenly divided by another.
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About BrightChamps in Oman
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.
