148 LearnersLast updated on May 26th, 2025
Divisibility Rule of 74
The divisibility rule is a way to determine 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 74.
What is the Divisibility Rule of 74?
The divisibility rule for 74 is a method by which we can find out if a number is divisible by 74 or not without using the division method. Check whether 4444 is divisible by 74 using the divisibility rule.
Step 1: Divide the number into two parts from the right: the last two digits and the remaining digits. Here, in 4444, the last two digits are 44, and the remaining part is 44.
Step 2: Multiply the last two digits by 2. 44 × 2 = 88.
Step 3: Subtract the result from Step 2 with the remaining digits: 44 - 88 = -44.
Step 4: Check if the result is a multiple of 74. Here, -44 is not a multiple of 74; therefore, 4444 is not divisible by 74.
Tips and Tricks for Divisibility Rule of 74
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 74.
- Know the multiples of 74: Memorize the multiples of 74 (74, 148, 222, 296, 370, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 74, then the number is divisible by 74.
- Use the negative numbers: If the result we get after the subtraction is negative, we will ignore the sign and consider it as positive for checking the divisibility of a number.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 74. For example, check if 8888 is divisible by 74 using the divisibility test. Divide the number: 888 and 88. Multiply the last two digits by 2: 88 × 2 = 176. Subtract 888 - 176 = 712. Repeat the process: divide 712 into 71 and 2. Multiply: 2 × 2 = 4. Subtract: 71 - 4 = 67. Since 67 is not a multiple of 74, 8888 is not divisible by 74.
- Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 74
The divisibility rule of 74 helps us quickly check if the given number is divisible by 74, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: divide the number, multiply the last two digits by 2, subtract the result from the remaining digits, and check whether it is a multiple of 74.
Divisibility Rule of 74 Examples
Problem 1
Is 370 divisible by 74?
No, 370 is not divisible by 74.
Explanation
To check if 370 is divisible by 74, we attempt to divide the number directly by 74.
1) Divide 370 by 74, which results in approximately 5.
2) Since the quotient is not a whole number, 370 is not divisible by 74.
Problem 2
Check the divisibility rule of 74 for 148.
Yes, 148 is divisible by 74.
Explanation
To verify if 148 is divisible by 74, we perform the division directly.
1) Divide 148 by 74, which results in exactly 2.
2) Since the quotient is a whole number, 148 is divisible by 74.
Problem 3
Is 592 divisible by 74?
Yes, 592 is divisible by 74.
Explanation
We will use direct division to check the divisibility of 592 by 74.
1) Divide 592 by 74, which results in exactly 8.
2) Since the quotient is a whole number, 592 is divisible by 74.
Problem 4
Can 888 be divisible by 74 following the divisibility rule?
No, 888 is not divisible by 74.
Explanation
We check the divisibility of 888 by dividing it directly by 74.
1) Divide 888 by 74, which results in approximately 12.
2) Since the quotient is not a whole number, 888 is not divisible by 74.
Problem 5
Check the divisibility rule of 74 for 1480.
Yes, 1480 is divisible by 74.
Explanation
We confirm the divisibility of 1480 by dividing it by 74.
1) Divide 1480 by 74, which results in exactly 20.
2) Since the quotient is a whole number, 1480 is divisible by 74.
FAQs on Divisibility Rule of 74
1.What is the divisibility rule for 74?
2.How many numbers are there between 1 and 750 that are divisible by 74?
3.Is 148 divisible by 74?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 74 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 74?
7.What are some fun ways kids in India can practice Divisibility Rule of 74 with numbers?
8.What role do numbers and Divisibility Rule of 74 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 74 skills?
Important Glossaries for Divisibility Rule of 74
- 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 74 if it meets the criteria of the divisibility rule for 74.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 74 are 74, 148, 222, 296, etc.
- Integers: Integers are the numbers that include all the 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.
- Division: Division is a mathematical operation where a number is evenly distributed into a specific number of parts. For verification, division can be used to check if a number is divisible by another.
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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.
