Divisibility Rule of 744

The divisibility rule for 744 is a method by which we can determine if a number is divisible by 744 without directly dividing it. To check whether a number is divisible by 744, it must be divisible by all the prime factors of 744, which are 2, 3, and 31. 

Example: Check whether 1488 is divisible by 744.

First, check for divisibility by 2: The last digit of 1488 is 8, which is even, so it is divisible by 2.

Next, check for divisibility by 3: Add the digits of 1488 (1+4+8+8=21). Since 21 is divisible by 3, 1488 is divisible by 3.

Finally, check for divisibility by 31: Perform direct division to check if 1488 divided by 31 is a whole number. Since it is, 1488 is divisible by 31.

Since 1488 is divisible by 2, 3, and 31, it is also divisible by 744.

Understanding the divisibility rule will help students master division. Here are some tips and tricks for the divisibility rule of 744:

Know the prime factors:

Memorize the prime factors of 744 (2, 3, and 31) to quickly check divisibility. 

Use smaller checks:

Check divisibility by 2 and 3 first before verifying divisibility by 31.

Repeat the process for large numbers:

If the initial checks show divisibility by 2 and 3, proceed to check divisibility by 31 for confirmation.

Use divisibility rules for factors:

Apply divisibility rules for 2, 3, and 31 individually to simplify the process.

Verify with division:

Use direct division to verify results and reinforce learning.

• Divisibility rule: A set of guidelines used to determine if one number can be evenly divided by another.

• Prime factors: The prime numbers that multiply together to give a certain number. For 744, these are 2, 3, and 31.

• Multiples: Numbers obtained by multiplying a number by an integer.

• Verification: The process of confirming the correctness of a calculation, often through direct division.

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