141 LearnersLast updated on May 26th, 2025
Divisibility Rule of 588
The divisibility rule is a way to determine whether a number is divisible by another number without using the traditional division method. In real life, we can use divisibility rules for quick calculations, dividing things evenly, and sorting items. In this topic, we will explore the divisibility rule for 588.
What is the Divisibility Rule of 588?
The divisibility rule for 588 allows us to find out if a number is divisible by 588 without performing the division directly. Let's check whether 3528 is divisible by 588 using the divisibility rule.
Step 1: Check divisibility by 2, 3, and 7, since 588 = 2 × 3 × 7 × 14.
- Divisibility by 2: The last digit of 3528 is 8, which is even. Therefore, 3528 is divisible by 2.
- Divisibility by 3: Sum the digits (3+5+2+8=18). Since 18 is divisible by 3, 3528 is divisible by 3.
- Divisibility by 7: Use the rule for 7. Double the last digit and subtract from the rest: 352 - (2×8) = 352 - 16 = 336. Repeat the process: 33 - (2×6) = 33 - 12 = 21, which is divisible by 7.
Since 3528 is divisible by 2, 3, and 7, it is also divisible by 588.
Tips and Tricks for Divisibility Rule of 588
Learning divisibility rules helps in mastering division. Let's look at a few tips and tricks for the divisibility rule of 588.
- Know the factors: Memorize the factors of 588 (2, 3, 7, 14) and their divisibility rules to quickly check divisibility.
- Repeat the process for large numbers: For larger numbers, repeatedly check divisibility by 2, 3, and 7 until you reach smaller numbers.
- Use division to verify: Verify results using the division method to ensure accuracy.
- Practice regularly: Regular practice helps in avoiding common mistakes and confusion in steps.
Common Mistakes and How to Avoid Them in Divisibility Rule of 588
The divisibility rule of 588 helps quickly check if a number is divisible by 588, but calculation errors can lead to incorrect results. Here are some common mistakes and how to avoid them:
Mistake 1
Not checking all prime factors.
Ensure you check divisibility by 2, 3, and 7.
Divisibility Rule of 588 Examples
Problem 1
Is 1764 divisible by 588?
Yes, 1764 is divisible by 588.
Explanation
To determine if 1764 is divisible by 588, we can break it down as follows:
1) Check divisibility by 2: 1764 is even, so it is divisible by 2.
2) Check divisibility by 3: Sum the digits, 1 + 7 + 6 + 4 = 18, which is divisible by 3.
3) Check divisibility by 4: The last two digits, 64, are divisible by 4.
4) Check divisibility by 7: Apply the rule for 7: 1 × 2 = 2, 176 - 2 = 174, 17 - 8 (last digit × 2) = 9, which is not divisible by 7, but since 1764 is divisible by both 12 and 49 (7 squared), it is divisible by 588.
Problem 2
Check the divisibility rule of 588 for 3528.
Yes, 3528 is divisible by 588.
Explanation
To check if 3528 is divisible by 588:
1) Check divisibility by 2: 3528 is even.
2) Check divisibility by 3: Sum of digits, 3 + 5 + 2 + 8 = 18, divisible by 3.
3) Check divisibility by 4: The last two digits, 28, are divisible by 4.
4) Check divisibility by 7: Apply the rule for 7: 8 × 2 = 16, 352 - 16 = 336, 33 - 12 = 21, which is divisible by 7.
Problem 3
Is 2940 divisible by 588?
No, 2940 is not divisible by 588.
Explanation
To determine if 2940 is divisible by 588:
1) Check divisibility by 2: 2940 is even.
2) Check divisibility by 3: Sum of digits, 2 + 9 + 4 + 0 = 15, divisible by 3.
3) Check divisibility by 4: The last two digits, 40, are divisible by 4.
4) Check divisibility by 7: Apply the rule for 7: 0 × 2 = 0, 294 - 0 = 294, 29 - 8 = 21, which is divisible by 7.
However, since 588 requires divisibility by all factors (2, 3, 4, 7), and 2940 meets these, it seems there was a mistake in the initial conclusion. Let's recalculate:
Since 2940 is divisible by 588, the original conclusion was incorrect.
Problem 4
Can 1232 be divisible by 588 following the divisibility rule?
No, 1232 isn't divisible by 588.
Explanation
To check if 1232 is divisible by 588, we follow the steps:
1) Check divisibility by 2: 1232 is even.
2) Check divisibility by 3: Sum of digits, 1 + 2 + 3 + 2 = 8, which is not divisible by 3.
Since 1232 is not divisible by 3, it cannot be divisible by 588.
Problem 5
Check the divisibility rule of 588 for 4704.
Yes, 4704 is divisible by 588.
Explanation
To check the divisibility rule of 588 for 4704:
1) Check divisibility by 2: 4704 is even.
2) Check divisibility by 3: Sum of digits, 4 + 7 + 0 + 4 = 15, divisible by 3.
3) Check divisibility by 4: The last two digits, 04, are divisible by 4.
4) Check divisibility by 7: Apply the rule for 7: 4 × 2 = 8, 470 - 8 = 462, 46 - 4 = 42, which is divisible by 7.
FAQs on Divisibility Rule of 588
1.What is the divisibility rule for 588?
2.How many numbers are there between 1 and 1000 that are divisible by 588?
3.Is 1176 divisible by 588?
4.What if I get a remainder when checking divisibility by one factor?
5.Does the divisibility rule of 588 apply to all integers?
6.How can children in Saudi Arabia use numbers in everyday life to understand Divisibility Rule of 588?
7.What are some fun ways kids in Saudi Arabia can practice Divisibility Rule of 588 with numbers?
8.What role do numbers and Divisibility Rule of 588 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 588 skills?
Important Glossaries for Divisibility Rule of 588
- Divisibility rule: A method to determine if a number can be divided evenly by another without performing division.
- Factors: Numbers that divide another number with no remainder. For 588, the factors are 2, 3, and 7.
- Multiples: Numbers obtained by multiplying a given number by an integer. For example, multiples of 588 are 588, 1176, etc.
- Remainder: The amount left after division when one number cannot be evenly divided by another.
- Integer: Whole numbers that include positive, 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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