Divisibility Rule of 746

The divisibility rule for 746 is a method by which we can determine if a number is divisible by 746 without using the division method. Let's check whether 1492 is divisible by 746 using the divisibility rule.

Step 1: Multiply the last digit of the number by 6. In 1492, the last digit is 2, so multiply it by 6. 2 × 6 = 12.

Step 2: Add the result from Step 1 to the remaining digits, excluding the last digit. That is, 149 + 12 = 161.

Step 3: If the result from step 2 is a multiple of 746, then the number is divisible by 746. Since 161 is not a multiple of 746, 1492 is not divisible by 746.

Learning the divisibility rule will help kids master division. Let’s explore a few tips and tricks for the divisibility rule of 746.

Know the multiples of 746:

Memorize the multiples of 746 (746, 1492, 2238, etc.) to quickly check divisibility. If the result from addition is a multiple of 746, then the number is divisible by 746.

Negative numbers:

If the result obtained after addition is negative, treat it as positive for checking divisibility.

Repeat the process for large numbers:

Continue the divisibility process until you reach a smaller number that is known to be divisible by 746. 

Use the division method to verify:

Use division to verify and cross-check results. This helps confirm the calculation and enhances learning.

• Divisibility rule: A set of guidelines to determine if a number is divisible by another number without performing division.

• Multiples: The result obtained from multiplying a number by an integer. For example, multiples of 746 are 746, 1492, 2238, etc.

• Integer: Whole numbers, including negative numbers and zero.

• Addition: The process of combining two or more numbers to find their total.

• Verification: The process of using additional methods, such as division, to confirm the accuracy of a calculation.