Divisibility Rule of 74

The divisibility rule for 74 is a method by which we can find out if a number is divisible by 74 or not without using the division method. Check whether 4444 is divisible by 74 using the divisibility rule.

Step 1: Divide the number into two parts from the right: the last two digits and the remaining digits. Here, in 4444, the last two digits are 44, and the remaining part is 44.

Step 2: Multiply the last two digits by 2. 44 × 2 = 88.

Step 3: Subtract the result from Step 2 with the remaining digits: 44 - 88 = -44.

Step 4: Check if the result is a multiple of 74. Here, -44 is not a multiple of 74; therefore, 4444 is not divisible by 74.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 74.

• Know the multiples of 74: Memorize the multiples of 74 (74, 148, 222, 296, 370, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 74, then the number is divisible by 74.

• Use the negative numbers: If the result we get after the subtraction is negative, we will ignore the sign and consider it as positive 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 74. For example, check if 8888 is divisible by 74 using the divisibility test. Divide the number: 888 and 88. Multiply the last two digits by 2: 88 × 2 = 176. Subtract 888 - 176 = 712. Repeat the process: divide 712 into 71 and 2. Multiply: 2 × 2 = 4. Subtract: 71 - 4 = 67. Since 67 is not a multiple of 74, 8888 is not divisible by 74.

• 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 find out whether a number is divisible by another number or not. For example, a number is divisible by 74 if it meets the criteria of the divisibility rule for 74.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 74 are 74, 148, 222, 296, etc.

• Integers: Integers are the numbers that include all the 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.

• Division: Division is a mathematical operation where a number is evenly distributed into a specific number of parts. For verification, division can be used to check if a number is divisible by another.