201 LearnersLast updated on May 26th, 2025
Divisibility Rule of 716
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 716.
What is the Divisibility Rule of 716?
The divisibility rule for 716 is a method by which we can find out if a number is divisible by 716 or not without using the division method. Check whether 1432 is divisible by 716 with the divisibility rule.
Step 1: Divide the number into two parts, the last three digits and the rest. In 1432, 432 are the last three digits.
Step 2: Check if the number formed by the last three digits (432) is divisible by 716. In this case, it is not.
Step 3: Since 432 is not divisible by 716, 1432 is also not divisible by 716. If the last three digits were divisible by 716, then the entire number would be divisible by 716.
Tips and Tricks for Divisibility Rule of 716
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 716.
Know the multiples of 716:
Memorize the multiples of 716 (716, 1432, 2148, 2864, etc.) to quickly check divisibility. If the last three digits are a multiple of 716, the number is divisible by 716.
Use the division method to verify:
Students can use the division method to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 716
The divisibility rule of 716 helps us to quickly check if a given number is divisible by 716, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not checking the last three digits for divisibility by 716.
Students should ensure they only check the last three digits and verify if those are divisible by 716.
Mistake 2
Misunderstanding the scope of the rule.
Remember, the rule applies only to the last three digits, which must be divisible by 716.
Mistake 3
Confusing the steps.
Students often confuse the steps or forget them; to avoid this error, students should practice regularly.
Mistake 4
Not considering the negative values.
Students might ignore negative values thinking divisibility rules don't apply to negative numbers. But the divisibility rule is applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. To avoid this error, students should practice regularly.
Divisibility Rule of 716 Examples
Problem 1
Is 2864 divisible by 716?
Yes, 2864 is divisible by 716.
Explanation
To determine if 2864 is divisible by 716, let's use a hypothetical divisibility rule.
1) Divide the last three digits by a constant, assume 2, so 864 ÷ 2 = 432.
2) Subtract this result from the first digit(s), 2 - 432 = -430.
3) Since the result is not zero, check again for error, or assume a mistake in steps. For this context, 2864 is divisible by 716 as 716 x 4 = 2864, verifying the correctness.
Problem 2
Check the divisibility rule of 716 for 5730.
No, 5730 is not divisible by 716.
Explanation
To apply a hypothetical divisibility rule for 716:
1) Consider dividing the last three digits by a factor, assume 3, so 730 ÷ 3 = 243.3.
2) Subtract the integer part from the first digits, 5 - 243 = -238.
3) Since the result is not zero, 5730 is not divisible by 716.
Problem 3
Is -1432 divisible by 716?
Yes, -1432 is divisible by 716.
Explanation
To check divisibility of a negative number by 716:
1) Remove the negative sign and apply a hypothetical rule.
2) Divide last three digits by a factor, assume 4, so 432 ÷ 4 = 108.
3) Subtract the result from the first digit, 1 - 108 = -107.
4) The negative result suggests need for another step, but actual calculation shows 716 x -2 = -1432, confirming divisibility.
Problem 4
Can 245 be divisible by 716 following the divisibility rule?
No, 245 isn't divisible by 716.
Explanation
To check if 245 is divisible by 716 using a rule:
1) Assume dividing last three digits by 5, so 245 ÷ 5 = 49.
2) Subtract the result from the first digit (none in this case), or assume 0 - 49 = -49.
3) Since the result isn't zero, 245 is not divisible by 716.
Problem 5
Check the divisibility rule of 716 for 3580.
No, 3580 is not divisible by 716.
Explanation
Using a divisibility rule for 716:
1) Assume dividing the last three digits by 6, so 580 ÷ 6 = 96.66.
2) Subtract the integer part from the first digit(s), 3 - 96 = -93.
3) Since the result is not zero, 3580 is not divisible by 716.
FAQs on Divisibility Rule of 716
1.What is the divisibility rule for 716?
2.Are there any numbers between 1000 and 2000 that are divisible by 716?
3.Is 2864 divisible by 716?
4.Does the divisibility rule of 716 apply to all integers?
5.How can children in Singapore use numbers in everyday life to understand Divisibility Rule of 716?
6.What are some fun ways kids in Singapore can practice Divisibility Rule of 716 with numbers?
7.What role do numbers and Divisibility Rule of 716 play in helping children in Singapore develop problem-solving skills?
8.How can families in Singapore create number-rich environments to improve Divisibility Rule of 716 skills?
Important Glossaries for Divisibility Rule of 716
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 716 are 716, 1432, 2148, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Division: Division is the operation of discovering how many times one number is contained within another.
- Digits: Digits are the individual numbers (0-9) that make up larger numbers.
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About BrightChamps in Singapore
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.
