Divisibility Rule of 913

The divisibility rule for 913 is a method by which we can find out if a number is divisible by 913 without using the division method. Check whether 2739 is divisible by 913 with the divisibility rule.

Step 1: There isn't a straightforward rule like smaller numbers for 913, but you can break it down into its prime factors. 913 = 11 × 83. Check for divisibility by 11 and 83.

For divisibility by 11: 
Find the difference between the sum of the digits in odd positions and the sum of the digits in even positions.
For 2739: (2 + 3) - (7 + 9) = 5 - 16 = -11, which is divisible by 11.

For divisibility by 83: This requires either memorization or a quick division check since 83 is a prime number. Since 2739 divided by 83 equals 33, a whole number, it is divisible by 83.

Step 2: Since 2739 is divisible by both 11 and 83, it is divisible by 913.

Learn divisibility rules to master division. Let’s learn a few tips and tricks for the divisibility rule of 913.

Understand the factors:

Know that 913 = 11 × 83. This helps to apply known divisibility rules for smaller factors.

Use known rules:

Utilize the divisibility rules for 11 (alternating sums of digits) and for 83 (check division).

Repeat the process for large numbers:

For larger numbers, break down divisibility checks into smaller factors.

Use the division method to verify:

Always verify your results by performing the division to ensure accuracy.
 

• Limitation Rule: There are some symbols that cannot be repeated more than once (V, L, D). For example, VV for 10 is wrong, the correct answer is X.

• Subtraction Method: A method used when a smaller numeral precedes a larger numeral, indicating subtraction. For example, IV represents 4 (5 - 1).

• Place Value: The position of a digit in a number, which determines its value.

• Prime Number: A number that has only two factors: 1 and itself.

• Addition Method: A method where numerals are added together if a smaller numeral follows a larger numeral. For example, VI is 6 (5 + 1).