Divisibility Rule of 46

The divisibility rule for 46 is a method by which we can find out if a number is divisible by 46 or not without using the division method. Check whether 1840 is divisible by 46 with the divisibility rule.  
 

Step 1: Check if the number is divisible by both 2 and 23 (since 46 = 2 × 23).
 

Step 2: For divisibility by 2, the number must be even. Since 1840 ends in 0, it is divisible by 2.
 

Step 3: For divisibility by 23, take the alternating sum of digits. Here, 1 - 8 + 4 - 0 = -3. Since -3 is not a multiple of 23, 1840 is not divisible by 23.
 

Step 4: Since 1840 is not divisible by 23, it is not divisible by 46.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 46.
 

• Know the multiples of 46: Memorize the multiples of 46 (46, 92, 138, 184, 230, etc.) to quickly check divisibility.
   
• Check divisibility by 2 and 23 separately: For 46, verify divisibility by both 2 and 23. If both conditions are satisfied, the number is divisible by 46.
   
• Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
   

• Divisibility rule: The set of rules used to determine whether a number is divisible by another number or not.
   
• Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 46 are 46, 92, 138, etc.
   
• Even numbers: Numbers divisible by 2, ending in 0, 2, 4, 6, or 8.
   
• Alternating sum: A method involving alternating subtraction and addition of a number's digits to check divisibility.
   
• Verification: The process of confirming results, often by performing the actual division.