Divisibility Rule of 346

The divisibility rule for 346 is a method by which we can find out if a number is divisible by 346 or not without using the division method. Check whether 692 is divisible by 346 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 692, 2 is the last digit. Multiply it by 2. 2 × 2 = 4.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 69 - 4 = 65.

Step 3: If the result from step 2 isn't zero, then the number isn't divisible by 346. Since 65 is not zero, 692 is not divisible by 346.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 346.

Know simple multiples of 346:

Memorize simple multiples of 346 (346, 692, 1038, …etc.) to quickly check divisibility. If the subtraction result is zero, then the number is divisible by 346.

Use the negative numbers:

If the result after the subtraction is negative, consider its absolute value to check divisibility.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they get a result that confirms divisibility. If necessary, use a less cumbersome method for larger numbers.

Use the division method to verify:

Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.

• Divisibility rule: A set of guidelines used to determine whether one number is divisible by another without performing division.

• Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 346 are 346, 692, 1038, etc.

• Integers: Numbers that include all whole numbers, negative numbers, and zero.

• Subtraction: A process of finding out the difference between two numbers by reducing one number from another.

• Absolute value: The non-negative value of a number without regard to its sign.