Divisibility Rule of 244

The divisibility rule for 244 helps us determine if a number is divisible by 244 without using the division method directly. To check whether a number is divisible by 244, follow these steps:

Step 1: Check if the number is divisible by 4 by ensuring the last two digits form a number divisible by 4.

Step 2: Check if the number is divisible by 61. For a simple check, subtract 61, 122, or 183 from the number repeatedly until you reach a remainder that is either 0 or another multiple of 61.

Step 3: If both conditions are met, the number is divisible by 244. If either condition is not met, the number is not divisible by 244.

Example: Check whether 1464 is divisible by 244.

Step 1: Check divisibility by 4. The last two digits are 64, which is divisible by 4.

Step 2: Check divisibility by 61. Subtract 61 from 1464 repeatedly: 1464-61=1403, 1403-61=1342, 1342-61=1281, 1281-61=1220, 1220-61=1159, 1159-61=1098, 1098-61=1037, 1037-61=976, 976-61=915, 915-61=854, 854-61=793, 793-61=732, 732-61=671, 671-61=610, 610-61=549, 549-61=488, 488-61=427, 427-61=366, 366-61=305, 305-61=244, 244-61=183. We reached 183, which is a multiple of 61.

Since both conditions are met, 1464 is divisible by 244.
 

Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 244.

1. Know the multiples of 244:

Memorize the multiples of 244 (244, 488, 732, 976, etc.) to quickly check divisibility. If the result from the subtraction in step 2 is a multiple of 61, then the number satisfies the second condition.

2. Use negative numbers:

If the result we get after subtraction is negative, consider it as positive for checking the divisibility of a number.

3. Repeat the process for large numbers:

Repeat the divisibility process until you reach a small number that is either 0 or a multiple of 61. 

4. Use the division method to verify:

Use the division method as a way to verify and cross-check results. This will help verify the answer and reinforce learning.

• Divisibility rule: A set of rules used to determine whether a number is divisible by another without direct division

• Multiple: The result obtained by multiplying a number by an integer. For example, multiples of 244 include 244, 488, and 732.

• Integer: A number that includes all whole numbers, negative numbers, and zero.

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

• Remainder: The amount left over after division when the divisor does not perfectly divide the dividend.