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.

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.

• 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.