Divisibility Rule of 174

The divisibility rule for 174 is a method by which we can determine if a number is divisible by 174 without using the division method. Check whether 348 is divisible by 174 with the divisibility rule.
 

Step 1: Check if the number is even. 348 is even, so proceed to the next step.

Step 2: Check if the sum of the digits is divisible by 3. For 348, the sum of the digits is 3 + 4 + 8 = 15, which is divisible by 3.

Step 3: Check if the number ends in 0, 4, or 8. Since 348 ends in 8, it satisfies this rule.
Since all conditions are satisfied, 348 is divisible by 174.

Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 174.
 

• Know the multiples of 174: Memorize the multiples of 174 (174, 348, 522, 696, 870…etc.) to quickly check divisibility. If a number matches one of these, it is divisible by 174.
   
• Use basic divisibility rules: Since 174 is 2 × 3 × 29, you can check divisibility by these factors separately. Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 174. For example, check if 1044 is divisible by 174. Since 1044 is even, its digit sum is 9 (which is divisible by 3), and it ends in 4, it is divisible by 174.
   
• Use the division method to verify: Students can use the division method to verify and cross-check their results. This will help them to verify and also learn.
   

• Divisibility rule: The set of guidelines used to determine whether a number is divisible by another number without performing division.
   
• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 174 are 174, 348, 522, etc.
   
• Even number: A number divisible by 2, ending in 0, 2, 4, 6, or 8.
   
• Digit sum: The sum of all digits in a number, used in checking divisibility by certain numbers.
   
• Integer: Whole numbers that include positive numbers, negative numbers, and zero.