207 LearnersLast updated on May 26th, 2025
Divisibility Rule of 631
The divisibility rule is a method to determine whether a number is divisible by another number without performing actual division. In real life, divisibility rules can help with quick math, even distribution, and sorting. In this topic, we will explore the divisibility rule of 631.
What is the Divisibility Rule of 631?
The divisibility rule for 631 is a method to determine if a number is divisible by 631 without using the division method. Let's check whether 1262 is divisible by 631 using this rule.
Step 1: Divide the number into two parts: the leftmost digits and the last three digits. For 1262, the leftmost part is 1 and the last three digits are 262.
Step 2: Multiply the leftmost part by 2. 1 × 2 = 2.
Step 3: Add the result from Step 2 to the last three digits. 262 + 2 = 264.
Step 4: If the result is a multiple of 631, then the original number is divisible by 631. In this example, 264 is not a multiple of 631, so 1262 is not divisible by 631.
Tips and Tricks for Divisibility Rule of 631
Learning the divisibility rule will help master division skills. Here are a few tips and tricks for the divisibility rule of 631:
1. Know the multiples of 631:
Memorize the multiples of 631 (631, 1262, 1893, etc.) to quickly check divisibility. If the result from step 3 is a multiple of 631, the number is divisible by 631.
2. Use positive results:
If the result from step 3 is negative, consider it as positive for checking divisibility.
3. Repeat the process for large numbers:
Continue applying the divisibility process until reaching a small number that can be easily checked against 631. For example, to check if 3155 is divisible by 631, divide into 3 and 155. Multiply 3 by 2 to get 6, and add to 155 to get 161. Since 161 is not a multiple of 631, 3155 is not divisible by 631.
4. Use the division method to verify:
Use the division method to verify and cross-check results, helping to confirm understanding.
Common Mistakes and How to Avoid Them in Divisibility Rule of 631
The divisibility rule of 631 helps quickly check if a number is divisible by 631, but mistakes can lead to incorrect results. Here are common mistakes and solutions:
Mistake 1
Not following the correct steps.
Follow the steps correctly: separate the number, multiply the leftmost part by 2, and add to the last three digits. Check if the result is a multiple of 631.
Mistake 2
Including all digits in calculations.
Only use the leftmost and last three digits for calculations.
Mistake 3
Not repeating the process for large numbers.
Repeat the process until a small number is reached that can be checked against 631.
Mistake 4
Ignoring negative values.
Treat negative values as positive when checking for divisibility.
Mistake 5
Confusing steps.
Practice regularly to remember and correctly follow the steps.
Divisibility Rule of 631 Examples
Problem 1
Is 1893 divisible by 631?
Yes, 1893 is divisible by 631.
Explanation
To check if 1893 is divisible by 631, we use the divisibility rule:
1) Separate the number into three parts: 18, 9, and 3.
2) Multiply the first part by 2, the second by 3, and the third by 1: 18 × 2 = 36, 9 × 3 = 27, and 3 × 1 = 3.
3) Sum these results: 36 + 27 + 3 = 66.
4) Check if the sum is divisible by 631. Since the sum 66 is not divisible by 631, the initial assumption is incorrect. However, using a different method (simply dividing), 1893 ÷ 631 = 3, meaning the initial step was flawed, but the number is indeed divisible.
Problem 2
Check the divisibility rule of 631 for 1262.
Yes, 1262 is divisible by 631.
Explanation
To verify 1262 using a divisibility rule approximation:
1) Divide the number into two parts: 12 and 62.
2) Multiply the first part by 5 and the second by 1: 12 × 5 = 60 and 62 × 1 = 62.
3) Subtract the second result from the first: 60 - 62 = -2.
4) Since the result is not zero, one might initially think it's not divisible. However, manually dividing 1262 by 631 yields 2, confirming divisibility. Thus, the initial step was misleading.
Problem 3
Is -1262 divisible by 631?
Yes, -1262 is divisible by 631.
Explanation
For the number -1262, remove the negative sign and check divisibility:
1) Divide 1262 by 631.
2) The result is exactly 2, confirming divisibility.
3) Since the calculation is straightforward, the negative sign does not affect divisibility, only the sign of the result.
Problem 4
Can 2524 be divisible by 631 using a divisibility check?
Yes, 2524 is divisible by 631.
Explanation
To determine if 2524 is divisible:
1) Consider dividing the number directly by 631.
2) The division results in 2524 ÷ 631 = 4.
3) This confirms that 2524 is divisible by 631, as no remainder exists. The division method is straightforward and confirms the divisibility.
Problem 5
Check the divisibility rule of 631 for 3155
Yes, 3155 is divisible by 631.
Explanation
To check the divisibility:
1) Use direct division: 3155 ÷ 631.
2) The result is exactly 5, showing divisibility.
3) This confirms that 3155 is divisible by 631 as it yields a whole number without a remainder.
FAQs on Divisibility Rule of 631
1.What is the divisibility rule for 631?
2.How many numbers are there between 1 and 2000 that are divisible by 631?
3.Is 1262 divisible by 631?
4.What if I get 0 after adding?
5.Does the divisibility rule of 631 apply to all integers?
6.How can children in Oman use numbers in everyday life to understand Divisibility Rule of 631?
7.What are some fun ways kids in Oman can practice Divisibility Rule of 631 with numbers?
8.What role do numbers and Divisibility Rule of 631 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 631 skills?
Important Glossaries for Divisibility Rule of 631
- Divisibility rule: A set of rules to determine if one number is divisible by another without performing division.
- Multiples: Results obtained from multiplying a number by an integer. For example, multiples of 631 are 631, 1262, 1893, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Addition: The mathematical operation of combining two numbers to get their sum.
- Calculation: The process of computing or determining something mathematically.
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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.
