138 LearnersLast updated on May 26th, 2025
Divisibility Rule of 152
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 152.
What is the Divisibility Rule of 152?
The divisibility rule for 152 is a method by which we can find out if a number is divisible by 152 or not without using the division method. Check whether 2280 is divisible by 152 with the divisibility rule.
Step 1: Verify if the number is divisible by 8 and 19, because 152 = 8 × 19.
Step 2: Check divisibility by 8. For 2280, check the last three digits, 280, which is divisible by 8.
Step 3: Check divisibility by 19. Use the rule for 19: double the last digit and subtract it from the rest of the number. If the result is divisible by 19, then the number is. For 2280, double 0 is 0, subtract 0 from 228, resulting in 228, and since 228 is divisible by 19, 2280 is divisible by 19.
Step 4: Since 2280 is divisible by both 8 and 19, it is divisible by 152.
Tips and Tricks for Divisibility Rule of 152
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 152.
- Know the factors: Memorize the factors of 152 (8 and 19) to quickly check the divisibility. A number divisible by both factors is divisible by 152.
- Use the divisibility rules for factors: Familiarize yourself with the divisibility rules for 8 and 19, as these help in checking the divisibility by 152.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that can be easily checked for divisibility by 8 and 19. Example: Check if 3648 is divisible by 152. First, check if it's divisible by 8. The last three digits, 648, are divisible by 8. For 19, double the last digit (8), subtract from the remaining number (364 - 16 = 348). 348 is divisible by 19. Thus, 3648 is divisible by 152.
- 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 152
The divisibility rule of 152 helps us quickly check if the given number is divisible by 152, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps of checking divisibility by 8 and 19 separately, then combining the results.
Divisibility Rule of 152 Examples
Problem 1
Is 456 divisible by 152?
No, 456 is not divisible by 152.
Explanation
To determine if 456 is divisible by 152, divide 456 by 152. Performing the division, 456 ÷ 152 = 3 with a remainder of 0. Therefore, 456 is not divisible by 152 as there is a remainder.
Problem 2
Verify if 608 is divisible by 152.
No, 608 is not divisible by 152.
Explanation
To check if 608 is divisible by 152, divide 608 by 152. The result is 608 ÷ 152 = 4 with a remainder of 0. Since the remainder is not 0, 608 is not divisible by 152.
Problem 3
Determine the divisibility of 760 by 152.
Yes, 760 is divisible by 152.
Explanation
Perform the division 760 ÷ 152. The result is 5 with no remainder, indicating that 760 is divisible by 152.
Problem 4
Can 304 be evenly divided by 152 using the divisibility rule?
Yes, 304 is divisible by 152.
Explanation
When dividing 304 by 152, the result is 2 with no remainder, confirming that 304 is divisible by 152.
Problem 5
Is 1520 divisible by 152?
Yes, 1520 is divisible by 152.
Explanation
Divide 1520 by 152, resulting in 10 with no remainder, showing that 1520 is divisible by 152.
FAQs on Divisibility Rule of 152
1. What is the divisibility rule for 152?
2.How many numbers are there between 1 and 1000 that are divisible by 152?
3.Is 304 divisible by 152?
4.What if I get 0 after subtraction?
5.Does the divisibility rule of 152 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 152?
7.What are some fun ways kids in United States can practice Divisibility Rule of 152 with numbers?
8.What role do numbers and Divisibility Rule of 152 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 152 skills?
Important Glossaries for Divisibility Rule of 152
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number without performing division.
- Factors: Numbers that are multiplied together to get another number. For example, the factors of 152 are 8 and 19.
- Multiples: The results we get after multiplying a number by an integer. For example, multiples of 152 are 152, 304, 456, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from 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.
