Divisibility Rule of 754

The divisibility rule for 754 is a method by which we can find out if a number is divisible by 754 or not without using the division method.

Check whether 1508 is divisible by 754 with the divisibility rule.

Step 1: Since the divisibility rule for 754 involves checking the divisibility by 2, 3, and 251 (as 754 = 2 × 3 × 251), we start by checking divisibility by these factors.

Step 2: Check divisibility by 2. The number 1508 ends with 8, which is even, so it is divisible by 2.

Step 3: Check divisibility by 3. Add the digits of 1508: 1 + 5 + 0 + 8 = 14. Since 14 is not divisible by 3, 1508 is not divisible by 3.

Step 4: Since 1508 is not divisible by 3, it is not divisible by 754.

Learning divisibility rules helps kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 754.

Know the factors of 754:

Memorize the factors of 754 (2, 3, and 251) to quickly check divisibility. If a number is divisible by all these factors, then it is divisible by 754.

Use each rule separately:

Check each divisibility rule separately and sequentially. If a number fails any of the divisibility checks for 2, 3, or 251, it is not divisible by 754.

Repeat the process for large numbers:

For large numbers, repeat the divisibility checks for each factor until you find the result. 

For example: Check if 3016 is divisible by 754 using the divisibility test.

Check divisibility by 2: 3016 ends with 6, which is even, so it's divisible by 2.

Check divisibility by 3: Add the digits of 3016: 3 + 0 + 1 + 6 = 10.

Since 10 is not divisible by 3, 3016 is not divisible by 754.

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: The set of rules used to find out whether a number is divisible by another number or not.

• Factors: Numbers that are multiplied together to get another number. For 754, the factors are 2, 3, and 251.

• Multiples: Results obtained by multiplying a number by integers. For example, multiples of 754 are 754, 1508, 2262, etc.

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

• Subtraction: A mathematical operation that represents the operation of removing objects from a collection. However, subtraction is not directly involved in the divisibility rule for 754.