111 LearnersLast updated on May 26th, 2025
Divisibility Rule of 147
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 147.
What is the Divisibility Rule of 147?
The divisibility rule for 147 is a method by which we can find out if a number is divisible by 147 or not without using the division method. Check whether 1764 is divisible by 147 with the divisibility rule.
Step 1: Check if the number is divisible by 3, 7, and 7 (since 147 = 3 × 7 × 7). Begin with 3: Add the digits of the number, 1 + 7 + 6 + 4 = 18, which is divisible by 3.
Step 2: Check divisibility by 7: For 1764, take 176, double the last digit (4), and subtract it from the rest, 176 - 8 = 168, which is divisible by 7 (168 ÷ 7 = 24).
Step 3: Check divisibility by 7 again: From step 2, take 168, and repeat the process. 16 - (8 × 2) = 0, which is divisible by 7.
Since 1764 is divisible by 3, 7, and 7, it is divisible by 147.
Tips and Tricks for Divisibility Rule of 147
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 147.
- Know the multiples of 147: Memorize the multiples of 147 (147, 294, 441, etc.) to quickly check divisibility. If a number is divisible by 3, 7, and 7, it's divisible by 147.
- Use the divisibility rules of 3 and 7: Familiarize yourself with these rules to simplify checking for divisibility by 147.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 147.
For example, check if 3528 is divisible by 147. First, check divisibility by 3: 3 + 5 + 2 + 8 = 18, which is divisible by 3. Next, check divisibility by 7: Take 352, double 8 = 16, 352 - 16 = 336, which is divisible by 7. Repeat for 336: 33 - 12 = 21, which is divisible by 7.
- Use the division method to verify: Students can use the division method 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 147
The divisibility rule of 147 helps us to quickly check if a given number is divisible by 147, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking all factors (3, 7, and 7).
Ensure the number is divisible by 3, 7, and 7.
Divisibility Rule of 147 Examples
Problem 1
Is 2058 divisible by 147?
Yes, 2058 is divisible by 147.
Explanation
To check the divisibility of 2058 by 147, follow these steps:
1) Separate the last three digits, which are 058.
2) Subtract twice the last three digits from the rest of the number, 2 × 58 = 116.
3) Subtract this from the remaining digits, 20 - 116 = -96.
4) Since -96 is a multiple of 147 when we add 147 (or subtract because -96 + 147 = 51, another multiple of 147), 2058 is divisible by 147.
Problem 2
Check the divisibility rule of 147 for 2940.
No, 2940 is not divisible by 147.
Explanation
To check the divisibility of 2940 by 147:
1) Separate the last three digits, which are 940.
2) Subtract twice the last three digits from the rest of the number, 2 × 940 = 1880.
3) Subtract this from the remaining digits, 29 - 1880 = -1851.
4) Since -1851 is not a multiple of 147, 2940 is not divisible by 147.
Problem 3
Is -588 divisible by 147?
Yes, -588 is divisible by 147.
Explanation
To check if -588 is divisible by 147, disregard the negative sign and follow these steps:
1) Separate the last three digits, which are 588.
2) Subtract twice the last three digits from the rest of the number, 2 × 588 = 1176.
3) Subtract this from the remaining digits, which are effectively 0 as there are no other digits, 0 - 1176 = -1176.
4) Since -1176 + 147 = -1029 (another multiple of 147), -588 is divisible by 147.
Problem 4
Can 1764 be divisible by 147 following the divisibility rule?
Yes, 1764 is divisible by 147.
Explanation
To check if 1764 is divisible by 147:
1) Separate the last three digits, which are 764.
2) Subtract twice the last three digits from the rest of the number, 2 × 764 = 1528.
3) Subtract this from the remaining digits, 1 - 1528 = -1527.
4) Since -1527 + 147 = -1380 (another multiple of 147), 1764 is divisible by 147.
Problem 5
Check the divisibility rule of 147 for 441.
Yes, 441 is divisible by 147.
Explanation
To check the divisibility of 441 by 147:
1) Separate the last three digits, which are 441.
2) Subtract twice the last three digits from the rest of the number, 2 × 441 = 882.
3) Subtract this from the remaining digits, which are effectively 0, 0 - 882 = -882.
4) Since -882 + 147 = -735 (another multiple of 147), 441 is divisible by 147.
FAQs on Divisibility Rule of 147
1.What is the divisibility rule for 147?
2.How many numbers are there between 1 and 1000 that are divisible by 147?
3.Is 441 divisible by 147?
4.What if I get 0 after subtracting during the test for 7?
5.Does the divisibility rule of 147 apply to all integers?
6.How can children in Saudi Arabia use numbers in everyday life to understand Divisibility Rule of 147?
7.What are some fun ways kids in Saudi Arabia can practice Divisibility Rule of 147 with numbers?
8.What role do numbers and Divisibility Rule of 147 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Divisibility Rule of 147 skills?
Important Glossaries for Divisibility Rule of 147
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing full division.
- Multiples: The results obtained from multiplying a number by an integer. For example, multiples of 147 are 147, 294, 441, etc.
- Factors: Numbers that can be evenly multiplied together to obtain another number. For example, the factors of 147 are 3, 7, and 7.
- 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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About BrightChamps in Saudi Arabia
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.
