Divisibility Rule of 389

The divisibility rule for 389 is a method by which we can find out if a number is divisible by 389 or not without using the division method. Check whether 1167 is divisible by 389 with the divisibility rule.

Step 1: Multiply the last digit of the number by 9, here in 1167, 7 is the last digit, multiply it by 9. 7 × 9 = 63

Step 2: Multiply the second last digit by 8, then add to the result of Step 1. The second last digit is 6. 6 × 8 = 48, so add 63 + 48 = 111.

Step 3: Multiply the third last digit by 3, then add to the result of Step 2. The third last digit is 1. 1 × 3 = 3, so add 111 + 3 = 114.

Step 4: Subtract the result from Step 3 from the remaining values excluding the last three digits. Here we only have 1. Thus, 1 - 114 = -113.

Step 5: If the result from Step 4 is a multiple of 389, the number is divisible by 389. If not, then it isn't divisible by 389. Since -113 is not a multiple of 389, 1167 is not divisible by 389.

Learning divisibility rules helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 389.

• Know the multiples of 389: Memorize the multiples of 389 (389, 778, 1167, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 389, the number is divisible by 389.
   
• Use positive values: If the result we get after subtraction is negative, consider it as positive for checking the divisibility.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 389. 
   
• 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 learn and verify.

• Divisibility rule: The set of rules used to determine whether a number is divisible by another number or not.
   
• Multiples: The results obtained after multiplying a number by an integer, such as multiples of 389 being 389, 778, etc.
   
• Integers: Numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: The process of finding the difference between two numbers by reducing one from another.
   
• Division method: A mathematical method used to divide numbers and verify results from divisibility rules.