156 LearnersLast updated on May 26th, 2025
Divisibility Rule of 148
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 148.
What is the Divisibility Rule of 148?
The divisibility rule for 148 is a method by which we can find out if a number is divisible by 148 without using the division method. Check whether 1776 is divisible by 148 with the divisibility rule.
Step 1: Check if the number is divisible by 4, as 148 is a multiple of 4. For 1776, the last two digits are 76, which is divisible by 4.
Step 2: Check if the number is divisible by 37, as 148 is 4 times 37. Since 37 is a prime number, this step involves verifying divisibility directly through division or using a known multiple.
Step 3: If both conditions in steps 1 and 2 are satisfied, the number is divisible by 148. In this case, you would further verify by performing the division or using known multiples.
Tips and Tricks for Divisibility Rule of 148
Knowing divisibility rules can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 148.
1. Know the multiples of 148: Memorize the multiples of 148 (148, 296, 444, 592, etc.) to quickly check divisibility. If the number is a multiple of 148, it is divisible by 148.
2. Check divisibility by 4: If a number is divisible by 4, it helps in checking the divisibility by 148 as it is a factor.
3. 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 148
The divisibility rule of 148 helps us to quickly check if a given number is divisible by 148, 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, checking divisibility by 4 and then by 37.
Divisibility Rule of 148 Examples
Problem 1
Is 2960 divisible by 148?
Yes, 2960 is divisible by 148.
Explanation
Let's check this using a hypothetical divisibility rule for 148.
1) Consider a rule where you multiply the last two digits of the number by 2. For 2960, the last two digits are 60, so 60 × 2 = 120.
2) Subtract this result from the remaining digits of the number, 29 - 120 = -91.
3) Check if the absolute result, 91, is divisible by 148. Since -91 doesn’t directly show divisibility, we adjust our method: 2960 divided by 148 equals 20, which is an integer, confirming divisibility.
Problem 2
Check the divisibility rule of 148 for 4444.
No, 4444 is not divisible by 148.
Explanation
Using our hypothetical rule for 148:
1) Multiply the last two digits by 2. The last two digits are 44, so 44 × 2 = 88.
2) Subtract this result from the remaining digits, 44 - 88 = -44.
3) Since -44 doesn’t confirm divisibility by 148, we check directly: 4444 divided by 148 equals 30 with a remainder, showing it is not divisible by 148.
Problem 3
Is 5188 divisible by 148?
Yes, 5188 is divisible by 148.
Explanation
Using our hypothetical rule for 148:
1) Multiply the last two digits by 2. The last two digits are 88, so 88 × 2 = 176.
2) Subtract this result from the remaining digits, 51 - 176 = -125.
3) This doesn’t directly confirm divisibility, so we check directly: 5188 divided by 148 equals 35, which is an integer, confirming divisibility.
Problem 4
Can 3700 be divisible by 148 following the divisibility rule?
No, 3700 is not divisible by 148.
Explanation
Applying the hypothetical divisibility rule for 148:
1) Multiply the last two digits by 2. The last two digits are 00, so 00 × 2 = 0.
2) Subtract this result from the remaining digits, 37 - 0 = 37.
3) Since 37 doesn’t confirm divisibility by 148, we check directly: 3700 divided by 148 equals 25 with a remainder, showing it is not divisible by 148.
Problem 5
Check the divisibility rule of 148 for 8888.
No, 8888 is not divisible by 148.
Explanation
Using our hypothetical rule for 148:
1) Multiply the last two digits by 2. The last two digits are 88, so 88 × 2 = 176.
2) Subtract this result from the remaining digits, 88 - 176 = -88.
3) Since -88 doesn’t confirm divisibility by 148, we check directly: 8888 divided by 148 equals 60 with a remainder, showing it is not divisible by 148.
FAQs on Divisibility Rule of 148
1.What is the divisibility rule for 148?
2.How many numbers are there between 1 and 1000 that are divisible by 148?
3.Is 444 divisible by 148?
4.What if I get 0 after dividing?
5.Does the divisibility rule of 148 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 148?
7.What are some fun ways kids in United States can practice Divisibility Rule of 148 with numbers?
8.What role do numbers and Divisibility Rule of 148 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 148 skills?
Important Glossary for Divisibility Rule of 148
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number without actual division.
- Multiple: The result obtained by multiplying a number by an integer. For example, multiples of 148 include 148, 296, 444, etc.
- Factor: A number that divides another number exactly without leaving a remainder. For example, 4 and 37 are factors of 148.
- Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 37 is a prime number.
- Verification: The process of confirming the validity of a result, often by direct calculation or division.
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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.
