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151 LearnersLast updated on February 16th, 2025
Divisibility Rule of 718
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 718.
What is the Divisibility Rule of 718?
The divisibility rule for 718 is a method by which we can find out if a number is divisible by 718 or not without using the division method. Check whether 1436 is divisible by 718 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 1436, 6 is the last digit, multiply it by 2. 6 × 2 = 12.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 143–12 = 131.
Step 3: As it is shown that 131 is not a multiple of 718, therefore, the number is not divisible by 718. If the result from Step 2 was a multiple of 718, then the number would be divisible by 718.
Common Mistakes and How to Avoid Them in Divisibility Rule of 718
The divisibility rule of 718 helps us to quickly check if the given number is divisible by 718, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that are multiplying the last digit with 2 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 718.
Divisibility Rule of 718 Examples
Problem 1
Is 1436 divisible by 718?
Yes, 1436 is divisible by 718.
Explanation
To determine if 1436 is divisible by 718, follow these steps:
1) Consider the half of 718, which is 359.
2) Check if 1436 is a multiple of 359. Yes, 1436 divided by 359 equals 4, which is a whole number.
3) Therefore, 1436 is divisible by 718.
Problem 2
Check the divisibility rule of 718 for 2872.
Yes, 2872 is divisible by 718.
Explanation
To check the divisibility of 2872 by 718, follow these steps:
1) Consider that 2872 can be expressed as 4 times 718.
2) Divide 2872 by 718, which equals 4, a whole number.
3) Thus, 2872 is divisible by 718.
Problem 3
Is 7180 divisible by 718?
Yes, 7180 is divisible by 718.
Explanation
To see if 7180 is divisible by 718, follow these steps:
1) Recognize that 7180 ends in a zero, suggesting a factor of 10.
2) Divide 7180 by 718, which equals 10, a whole number.
3) Therefore, 7180 is divisible by 718.
Problem 4
Can 1540 be divisible by 718 following the divisibility rule?
No, 1540 is not divisible by 718.
Explanation
To check if 1540 is divisible by 718, follow these steps:
1) Divide 1540 by 718 to see if the result is a whole number.
2) The division yields approximately 2.144, which is not a whole number.
3) Therefore, 1540 is not divisible by 718.
Problem 5
Check the divisibility rule of 718 for 2154.
No, 2154 is not divisible by 718.
Explanation
To determine if 2154 is divisible by 718, follow these steps:
1) Divide 2154 by 718 to check for a whole number result.
2) The division gives approximately 3.000, which is a whole number.
3) However, upon re-evaluation, the exact division confirms it is not a multiple of 718, indicating a miscalculation.
4) Thus, the initial assumption was incorrect; 2154 is divisible by 718.
FAQs on Divisibility Rule of 718
1.What is the divisibility rule for 718?
2.How many numbers are there between 1 and 10000 that are divisible by 718?
3.Is 2872 divisible by 718?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 718 apply to all the integers?
Important Glossaries for Divisibility Rule of 718
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with even numbers.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 718 are 718, 1436, 2154, 2872, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers, by reducing one number from another.
- Verification: The process of confirming the correctness of a calculation or procedure, often by using another method, such as division in this case.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
