169 LearnersLast updated on May 26th, 2025
Divisibility Rule of 888
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 divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 888.
What is the Divisibility Rule of 888?
The divisibility rule for 888 is a method to determine if a number is divisible by 888 without using the division method.
Let's check whether 71064 is divisible by 888 using the divisibility rule.
Step 1: Check if the number is divisible by 8, 9, and 111, the prime factors of 888.
For 8: The last three digits of the number, 064, should be divisible by 8. Since 64 is divisible by 8, this condition is satisfied.
For 9: The sum of the digits of the number should be divisible by 9. The sum of the digits of 71064 is 7+1+0+6+4 = 18, which is divisible by 9.
For 111: The alternating sum of the digits should be divisible by 111. Calculate as follows: (7-1+0-6+4) = 4, which is not divisible by 111.
Since the last condition is not satisfied, 71064 is not divisible by 888.
Tips and Tricks for Divisibility Rule of 888
Learning the divisibility rule helps kids master division. Let's learn a few tips and tricks for the divisibility rule of 888.
Know the prime factors:
Recognize that a number is divisible by 888 if it is divisible by its prime factors, 8, 9, and 111.
Practice checking divisibility by smaller numbers:
Ensure confidence in checking divisibility by 8, 9, and 111 to apply the rule efficiently.
Use the alternating sum method for 111:
For divisibility by 111, use the alternating sum of digits for quick verification.
Repeat the process for large numbers:
For large numbers, verify divisibility by each factor separately to confirm divisibility by 888.
Use the division method to verify:
Use the division method as a way to verify and cross-check results, helping to confirm the divisibility.
Common Mistakes and How to Avoid Them in Divisibility Rule of 888
The divisibility rule of 888 helps us quickly check if a given number is divisible by 888, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will address some common mistakes to help you understand.
Mistake 1
Not checking all conditions.
Ensure that the number satisfies the divisibility conditions for 8, 9, and 111.
Divisibility Rule of 888 Examples
Problem 1
Does the number 1776 follow the divisibility rule of 888?
No, 1776 is not divisible by 888.
Explanation
To check if 1776 is divisible by 888, one approach could involve breaking down the number in relation to manageable components.
Since 888 = 23 × 3 × 37, we could check divisibility by these factors. 1776 is divisible by 8 (1776/8 = 222), 3 (sum of digits 1+7+7+6 = 21 which is divisible by 3), and 37 (1776/37 = 48), but since all factors must be considered together, and the complete breakdown might not align, a different approach might be required.
Checking further, the division 1776/888 does not result in an integer, confirming that 1776 is not divisible by 888.
Problem 2
Verify if the year 2880 is divisible by 888.
Yes, 2880 is divisible by 888.
Explanation
To verify divisibility by 888, consider the factors 8, 3, and 37. First, check 8: 2880/8 = 360, which is an integer.
Next, check 3: the sum of its digits is 2+8+8+0 = 18, which is divisible by 3. Lastly, check 37: 2880/37 is approximately 77.8378, suggesting further evaluation is needed.
Through detailed calculation, 2880 divided by 888 equals 3.24, confirming integer divisibility by 888.
Problem 3
Is the number 8880 divisible by 888?
Yes, 8880 is divisible by 888.
Explanation
Testing divisibility by 888 involves checking if the number meets divisibility requirements of 8, 3, and 37.
8880 divided by 8 equals 1110, which shows divisibility by 8. The sum of its digits, 8+8+8+0 = 24, is divisible by 3.
Lastly, 8880 divided by 37 equals 240, an integer, confirming divisibility by 37.
Thus, 8880 is divisible by 888.
Problem 4
Can 4444 be divisible by 888 using its rule?
No, 4444 is not divisible by 888.
Explanation
To determine if 4444 is divisible by 888, consider its factors: 8, 3, and 37. First, check 8: 4444/8 equals 555.5, indicating non-divisibility by 8.
The sum of its digits (4+4+4+4 = 16) is not divisible by 3. Lastly, 4444 divided by 37 is approximately 120.108, not an integer.
Therefore, 4444 is not divisible by 888.
Problem 5
Assess the divisibility of 1332 by 888.
No, 1332 is not divisible by 888.
Explanation
To assess divisibility by 888, verify divisibility by its factors (8, 3, and 37). For 8, 1332 divided by 8 equals 166.5, indicating non-divisibility by 8.
The sum of digits 1+3+3+2 = 9, which is divisible by 3, but since divisibility by 8 failed, 1332 is not divisible by 888.
FAQs on Divisibility Rule of 888
1.What is the divisibility rule for 888?
2.How many numbers are there between 1 and 1000 that are divisible by 888?
3.Is 1776 divisible by 888?
4.What if a number meets two out of three conditions?
5.Does the divisibility rule of 888 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 888?
7.What are some fun ways kids in United States can practice Divisibility Rule of 888 with numbers?
8.What role do numbers and Divisibility Rule of 888 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 888 skills?
Important Glossaries for Divisibility Rule of 888
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number.
- Prime factors: The prime numbers that multiply together to make a given number. For 888, the prime factors are 2, 3, and 37.
- Alternating sum: The sum of digits where the signs alternate between addition and subtraction.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 888 are 888, 1776, etc.
- Integer: Whole numbers, including 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
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