Divisibility Rule of 359

The divisibility rule for 359 is a method by which we can find out if a number is divisible by 359 or not without using the division method. Check whether 1077 is divisible by 359 with the divisibility rule.
 

Step 1: Multiply the last digit of the number by 9. Here in 1077, 7 is the last digit, so multiply it by 9. 7 × 9 = 63.
 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 107 - 63 = 44.
 

Step 3: As 44 is not a multiple of 359, the number is not divisible by 359. If the result from step 2 is a multiple of 359, then the number is divisible by 359.
 

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 359.
 

• Know the multiples of 359: Memorize the multiples of 359 (359, 718, 1077, 1436, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 359, then the number is divisible by 359.
   
• Use negative numbers: If the result after subtraction is negative, consider it as positive for checking the divisibility of a number.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 359.
  
  For example, check if 3231 is divisible by 359 using the divisibility test. Multiply the last digit by 9, i.e., 1 × 9 = 9.
  
  Subtract the remaining digits excluding the last digit by 9, 323 - 9 = 314. Since 314 is not a multiple of 359, 3231 is not divisible by 359.
   
• Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
   

• Divisibility rule: A set of guidelines used to determine whether a number is divisible by another number without performing division.
   
• Multiples: Numbers obtained by multiplying a given number by integers. For example, multiples of 359 are 359, 718, 1077, etc.
   
• Subtraction: The process of finding the difference between two numbers by removing one number from another.
   
• Integer: Whole numbers that include positive numbers, negative numbers, and zero.
   
• Verification: The process of confirming the correctness of a result using an alternative method, such as division.