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133 LearnersLast updated on February 13th, 2025
Divisibility Rule of 444
The divisibility rule is a method to determine if a number is divisible by another number without using the division method. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 444.
What is the Divisibility Rule of 444?
The divisibility rule for 444 is a method by which we can determine if a number is divisible by 444 without using the division method. Let's check whether 888 is divisible by 444 using this rule.
Step 1: Multiply the last three digits of the number by 1, since 444 has three digits. Here, in 888, the last three digits are 888. So, 888 × 1 = 888.
Step 2: Check if the result from Step 1 is a multiple of 444. In this case, 888 is exactly twice 444 (444 × 2 = 888).
Step 3: Since 888 is a multiple of 444, the number is divisible by 444. If the result from Step 2 is not a multiple of 444, then the number isn't divisible by 444.
Tips and Tricks for Divisibility Rule of 444
Learning divisibility rules will help students master division. Let’s explore a few tips and tricks for the divisibility rule of 444.
- Know the multiples of 444: Memorize the multiples of 444 (444, 888, 1332, 1776, etc.) to quickly check divisibility. If the result from Step 2 is a multiple of 444, then the number is divisible by 444.
- Repeat the process for large numbers: For large numbers, students should keep repeating the divisibility process with the last three digits until they reach a smaller number that is divisible by 444.
For example, check if 1776 is divisible by 444 using the divisibility test.
Since the last three digits are 776, repeat the divisibility process with this number. Notice that 1776 is 444 × 4, so it is divisible by 444.
- 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 444
The divisibility rule of 444 helps us quickly check if a given number is divisible by 444, but common mistakes like calculation errors can lead to incorrect conclusions. Here are some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps of checking the last three digits and verifying if they form a multiple of 444.
Divisibility Rule of 444 Examples
Problem 1
Is 1776 divisible by 444?
Yes, 1776 is divisible by 444.
Explanation
To check if 1776 is divisible by 444, we can use the divisibility rule.
1) Break down the number into smaller parts that are easier to handle for division.
2) Divide 1776 by 444.
3) Perform the division and check if there is no remainder. Since 1776 ÷ 444 = 4, with no remainder, 1776 is divisible by 444.
Problem 2
Check the divisibility rule of 444 for 888.
No, 888 is not divisible by 444.
Explanation
To determine if 888 is divisible by 444:
1) Check if dividing 888 by 444 results in a whole number.
2) Perform the division: 888 ÷ 444 = 2.
3) Since the division results in a whole number but does not match a full cycle of 444 without remainder, 888 is not divisible by 444.
Problem 3
Is 0 divisible by 444?
Yes, 0 is divisible by 444.
Explanation
According to the divisibility rules for any number, 0 divided by any non-zero number is always 0.
1) Consider division of 0 by 444.
2) The result is 0, which means it is perfectly divisible.
Problem 4
Can 2220 be divisible by 444 following the divisibility rule?
No, 2220 is not divisible by 444.
Explanation
To check if 2220 is divisible by 444:
1) Perform the division: 2220 ÷ 444.
2) The calculation results in approximately 5.
3) Since 5 is not a whole number when considering the complete cycle of 444, 2220 is not divisible by 444.
Problem 5
Check the divisibility rule of 444 for 4440.
Yes, 4440 is divisible by 444.
Explanation
To verify if 4440 is divisible by 444:
1) Conduct the division: 4440 ÷ 444.
2) The result is 10 exactly, with no remainder.
3) Therefore, 4440 is divisible by 444.
FAQs on Divisibility Rule of 444
1.What is the divisibility rule for 444?
2.How many numbers between 1 and 2000 are divisible by 444?
3.Is 1332 divisible by 444?
4.What if I get 0 after calculating the last three digits?
5.Does the divisibility rule of 444 apply to all integers?
Important Glossaries for Divisibility Rule of 444
- Divisibility rule: A set of rules used to determine if a number is divisible by another number without performing division.
- Multiples: Multiples are the products obtained by multiplying a number by an integer. For example, multiples of 444 are 444, 888, 1332, etc.
- Last three digits: The last three digits of a number are the digits used in checking divisibility by 444.
- Verification: The process of using division to confirm the results obtained from the divisibility rule.
- Integer: Integers are numbers that include all whole numbers, negative numbers, and zero.
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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.
