Divisibility Rule of 742
2026-02-28 11:07 Diff
https://brightchamps.com/en-us/math/numbers/divisibility-rule-of-742

305 Learners

Last updated on August 5, 2025

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.

Explore Our Programs

Download Worksheets

Problem 1

Can 3710 be checked for divisibility by 742?

Okay, lets begin

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.

Well explained 👍

Problem 2

Is 1484 divisible by 742 using the divisibility rule?

Okay, lets begin

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.

Well explained 👍

Problem 3

Determine if -2226 is divisible by 742.

Okay, lets begin

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.

Well explained 👍

Problem 4

Is 742 divisible by 742?

Okay, lets begin

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.

Well explained 👍

Problem 5

Can 2968 be divided by 742 according to the divisibility rule?

Okay, lets begin

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.

Well explained 👍

FAQs on Divisibility Rule of 742

1.What is the divisibility rule for 742?

The divisibility rule for 742 involves separating into chunks, multiplying the first chunk by 2, and subtracting it from the second chunk to check if the result is a multiple of 742.

2.How many numbers are there between 1 and 3000 that are divisible by 742?

There are 4 numbers that can be divided by 742 between 1 and 3000. The numbers are 742, 1484, 2226, and 2968.

3.Is 1484 divisible by 742?

Yes, because 1484 is a multiple of 742 (742 × 2 = 1484).

4.What if I get 0 after subtracting?

If you get 0 after subtracting, it is considered that the number is divisible by 742.

5.Does the divisibility rule of 742 apply to all integers?

Yes, the divisibility rule of 742 applies to all integers.

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.

What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math

▶

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.