Divisibility Rule of 479

The divisibility rule for 479 is a method by which we can find out if a number is divisible by 479 or not without using the division method. Check whether 958 is divisible by 479 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 9. Here in 958, 8 is the last digit, so multiply it by 9. 8 × 9 = 72.  

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 95 – 72 = 23.
 
Step 3: As 23 is not a multiple of 479, the number is not divisible by 479. If the result from step 2 were a multiple of 479, then the number would be divisible by 479.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 479.
 

• Know the multiples of 479: Memorize the multiples of 479 (479, 958, 1437, ... etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 479, then the number is divisible by 479.
   
• Use negative numbers: If the result we get after the subtraction is negative, we will consider its absolute value 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 479.
  
  For example, check if 1916 is divisible by 479 using the divisibility test. Multiply the last digit by 9, i.e., 6 × 9 = 54. Subtract the remaining digits excluding the last digit by 54: 191 – 54 = 137.
  
  Since 137 is still large, repeat the process by multiplying the last digit of 137 by 9: 7 × 9 = 63. Now subtract 63 from the remaining numbers, 13 – 63 = -50.
  
  Consider 50 (the absolute value) and check against the multiples of 479. Since 50 is not a multiple of 479, 1916 is not divisible by 479.
   
• 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 verify and also learn.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 479 if the process outlined is satisfied.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 479 are 479, 958, 1437, etc.
   
• Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
   
• Absolute value: The absolute value of a number is the non-negative value of that number without regard to its sign.