Table Of Contents
148 LearnersLast updated on February 14th, 2025
Divisibility Rule of 638
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 638.
What is the Divisibility Rule of 638?
The divisibility rule for 638 is a method by which we can find out if a number is divisible by 638 or not without using the division method. Check whether 1276 is divisible by 638 using the divisibility rule.
Step 1: Since there is no simple traditional rule for 638, we can break it down using its prime factors. The prime factorization of 638 is 2 × 7 × 7 × 13. First, check divisibility by 2. The last digit is 6, which is even, so it is divisible by 2.
Step 2: Now, check divisibility by 49 (7 × 7). For checking divisibility by 49, a simple method is not generally taught, so we use direct division or check using smaller factors.
Step 3: Next, check divisibility by 13. The steps are more involved and generally require direct division or specialized techniques.
If all the three conditions of divisibility by 2, 49, and 13 are satisfied, then the number is divisible by 638.
Tips and Tricks for Divisibility Rule of 638
Learn divisibility rules to master division. Let’s learn a few tips and tricks for the divisibility rule of 638
1. Break down into smaller factors:
Know the multiples of 2, 7, and 13 to quickly check the divisibility. If a number is divisible by these, it is divisible by 638.
2. Use negative numbers:
If the result of any step is negative, consider it as positive for checking divisibility.
3. Repeat the process for large numbers:
Keep repeating the divisibility process until you reach a small number that is divisible by 2, 49, and 13.
4. Use the division method to verify:
Always verify with the division method to cross-check results.
Common Mistakes and How to Avoid Them in Divisibility Rule of 638
The divisibility rule of 638 helps us to quickly check if a given number is divisible by 638, but common mistakes can lead to incorrect calculations. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Follow the correct steps by breaking down 638 into its factors and checking divisibility by each.
Divisibility Rule of 638 Examples
Problem 1
Is 1914 divisible by 638?
Yes, 1914 is divisible by 638.
Explanation
To check if 1914 is divisible by 638, follow these steps:
1) Divide 1914 by 638: 1914 ÷ 638 = 3.
2) Since the result is a whole number with no remainder, 1914 is divisible by 638.
Problem 2
Is 1276 divisible by 638?
Yes, 1276 is divisible by 638.
Explanation
To verify if 1276 is divisible by 638, perform the following:
1) Divide 1276 by 638: 1276 ÷ 638 = 2.
2) The division results in a whole number, meaning 1276 is divisible by 638.
Problem 3
Check the divisibility rule of 638 for 3828.
Yes, 3828 is divisible by 638.
Explanation
To determine if 3828 is divisible by 638:
1) Divide 3828 by 638: 3828 ÷ 638 = 6.
2) The division yields a whole number, confirming 3828 is divisible by 638.
Problem 4
Is 850 divisible by 638?
No, 850 is not divisible by 638.
Explanation
To check if 850 is divisible by 638:
1) Divide 850 by 638: 850 ÷ 638 ≈ 1.33.
2) The result is not a whole number, indicating 850 is not divisible by 638.
Problem 5
Check the divisibility rule of 638 for 1276.
Yes, 1276 is divisible by 638.
Explanation
To verify the divisibility of 1276 by 638:
1) Divide 1276 by 638: 1276 ÷ 638 = 2.
2) The division results in a whole number, confirming that 1276 is divisible by 638.
FAQs on Divisibility Rule of 638
1.What is the divisibility rule for 638?
2.How many numbers are there between 1 and 1000 that are divisible by 638?
3.Is 1276 divisible by 638?
4. What if I get 0 after checking divisibility steps?
5. Does the divisibility rule of 638 apply to all integers?
Important Glossaries for Divisibility Rule of 638
- Divisibility rule: A set of steps used to determine if one number is divisible by another.
- Prime factorization: Breaking down a number into its prime factors.
- Multiple: A number that can be obtained by multiplying a given integer by another integer.
- Integer: Any of the positive or negative whole numbers, including zero.
- Subtraction: The process of deducting one number from another.
Explore More numbers
Previous to Divisibility Rule of 638
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.
