192 LearnersLast updated on May 26th, 2025
Divisibility Rule of 742
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 742.
What is the Divisibility Rule of 742?
The divisibility rule for 742 is a method by which we can find out if a number is divisible by 742 or not without using the division method
.
Check whether 1484 is divisible by 742 with the divisibility rule.
Step 1: Separate the number into chunks of three digits from right to left. Here, 1484 becomes 1,484.
Step 2: Subtract the first chunk from the second chunk, multiplying the first chunk by 2. That is, 2 × 1 = 2 and then 484 - 2 = 482.
Step 3: As it is not necessary for 482 to be a multiple of 742, the number is not divisible by 742. If the result from step 2 is a multiple of 742, then the number is divisible by 742.
Tips and Tricks for Divisibility Rule of 742
Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 742.
- Know the multiples of 742: Memorize the multiples of 742 (742, 1484, 2226, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 742, then the number is divisible by 742.
- Use the absolute value: If the result we get after the subtraction is negative, we will avoid the symbol and consider its absolute value for checking the divisibility.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 742.
For example: Check if 2226000 is divisible by 742 using the divisibility test.
Separate into chunks: 2,226,000 becomes 2,226,000.
Subtract: 0 - (2 × 2,226) = -4,452.
The absolute value of 4,452 is not a multiple of 742, hence the number is not divisible by 742.
- 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 to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 742
The divisibility rule of 742 helps us to quickly check if the given number is divisible by 742, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which involve separating into chunks, multiplying the first chunk, and then subtracting it from the second chunk.
Mistake 2
Including the wrong chunk in subtraction.
Students should keep in mind that they should subtract the first chunk multiplied by 2 from the second chunk.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large result after subtraction. The process should be repeated until we get the smallest number that is divisible by 742.
Mistake 4
Not considering the absolute values.
Students should consider the absolute values when checking for divisibility to avoid errors with negative values.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Divisibility Rule of 742 Examples
Problem 1
Can 3710 be checked for divisibility by 742?
No, 3710 is not divisible by 742.
Explanation
To determine if 3710 is divisible by 742, follow these steps.
1) Take the last digit of 3710, which is 0, and multiply it by 2, resulting in 0.
2) Subtract the result from the remaining digits, 371 - 0 = 371.
3) Since 371 is not a multiple of 742, 3710 is not divisible by 742.
Problem 2
Is 1484 divisible by 742 using the divisibility rule?
Yes, 1484 is divisible by 742.
Explanation
To check if 1484 is divisible by 742, use the following method.
1) Multiply the last digit, 4, by 2 to get 8.
2) Subtract this from the remaining digits, 148 - 8 = 140.
3) Since 140 is a multiple of 742, 1484 is divisible by 742.
Problem 3
Determine if -2226 is divisible by 742.
No, -2226 is not divisible by 742.
Explanation
Since the number is negative, check the positive equivalent.
1) Multiply the last digit, 6, by 2 to get 12.
2) Subtract the result from the remaining digits, 222 - 12 = 210.
3) 210 is not a multiple of 742, so -2226 is not divisible by 742.
Problem 4
Is 742 divisible by 742?
Yes, 742 is divisible by 742.
Explanation
Any number is divisible by itself.
1) The last digit, 2, multiplied by 2 equals 4.
2) Subtract from the remaining digits: 74 - 4 = 70.
3) Since 742 divided by 742 results in 1, 742 is divisible by 742.
Problem 5
Can 2968 be divided by 742 according to the divisibility rule?
Yes, 2968 is divisible by 742.
Explanation
To confirm divisibility, follow these steps.
1) Multiply the last digit, 8, by 2, yielding 16.
2) Subtract from the remaining digits: 296 - 16 = 280.
3) Since 280 is a multiple of 742, 2968 is divisible by 742.
FAQs on Divisibility Rule of 742
1.What is the divisibility rule for 742?
2.How many numbers are there between 1 and 3000 that are divisible by 742?
3.Is 1484 divisible by 742?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 742 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 742?
7.What are some fun ways kids in United States can practice Divisibility Rule of 742 with numbers?
8.What role do numbers and Divisibility Rule of 742 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 742 skills?
Important Glossaries for Divisibility Rule of 742
- Divisibility Rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with even numbers.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 742 are 742, 1484, 2226, etc.
- Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
- Chunks: Chunks refer to the parts of a number into which it is separated for the purpose of applying a divisibility rule.
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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.
