Divisibility Rule of 774

The divisibility rule for 774 is a method by which we can find out if a number is divisible by 774 or not without using the division method. Check whether 1548 is divisible by 774 with the divisibility rule.
 

Step 1: Check if the number is divisible by 2, 3, and 43 (since 774 = 2 × 3 × 43).
 

2: A number is divisible by 2 if it ends in an even number. Here, 1548 ends in 8, which is even, so it is divisible by 2.

3: Sum of the digits of 1548 is 1 + 5 + 4 + 8 = 18. Since 18 is divisible by 3, 1548 is divisible by 3.

43: Use the division method or calculator to verify if 1548 is divisible by 43.
 

Step 2: If all conditions (divisibility by 2, 3, and 43) are satisfied, the number is divisible by 774. If any of these conditions fail, the number is not divisible by 774.
 

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 774.
 

• Know the factors: Memorize the factors of 774 (2, 3, and 43) to quickly check the divisibility.
   
• Use the division method for complex factors: For large factors like 43, the division method might be necessary to verify divisibility.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process for each factor until a small number is reached that satisfies all divisibility conditions.
   

• Divisibility rule: A set of rules used to determine if one number can be divided evenly by another without using division.
   
• Factors: Numbers that multiply together to produce another number. For 774, the factors are 2, 3, and 43.
   
• Multiples: Results obtained from multiplying a number by integers. For example, multiples of 43 are 43, 86, 129, etc.
   
• Even number: A number divisible by 2 without a remainder.
   
• Sum of digits: The total obtained by adding all digits of a number, used to check divisibility by certain factors like 3.