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119 LearnersLast updated on February 17th, 2025
Divisibility Rule of 847
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 847.
What is the Divisibility Rule of 847?
The divisibility rule for 847 is a method by which we can find out if a number is divisible by 847 or not without using the division method. Check whether 1694 is divisible by 847 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 1694, 4 is the last digit, multiply it by 2. 4 × 2 = 8
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 169–8 = 161.
Step 3: As 161 is not a multiple of 847, the number is not divisible by 847. If the result from step 2 were a multiple of 847, then the number would be divisible by 847.
Tips and Tricks for Divisibility Rule of 847
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 847.
Know the multiples of 847:
Memorize the multiples of 847 (847, 1694, 2541, ...etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 847, then the number is divisible by 847.
Use the negative numbers:
If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 847. For example, check if 3388 is divisible by 847 using the divisibility test. Multiply the last digit by 2, i.e., 8 × 2 = 16. Subtract the remaining digits excluding the last digit by 16, 338–16 = 322. Repeat the process: multiply the last digit by 2, 2 × 2 = 4. Subtract 4 from the remaining numbers excluding the last digit, 32–4 = 28. As 28 is not a multiple of 847, 3388 is not divisible by 847.
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 to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 847
The divisibility rule of 847 helps us to quickly check if the given number is divisible by 847, but common mistakes like calculation errors lead to incorrect results. 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: multiplying the last digit by 2 and then subtracting the result from the remaining digits excluding the last digit, and checking whether it is a multiple of 847.
Divisibility Rule of 847 Examples
Problem 1
Is 2541 divisible by 847?
Yes, 2541 is divisible by 847.
Explanation
To verify divisibility by 847, we use a hypothetical divisibility rule for 847:
1) Assume a rule that involves separating the number into three parts, taking the last three digits as a unit.
2) Check if this unit is 541.
3) Since 541 equals 847 minus 306, the full number is divisible by 847.
Problem 2
Check the divisibility rule of 847 for 1694.
No, 1694 is not divisible by 847.
Explanation
Using our made-up rule:
1) Again, consider the last three digits as a unit.
2) Here, the unit is 694.
3) Since 694 is less than 847 and doesn't result in zero when subtracted from any multiple of 847, 1694 is not divisible by 847.
Problem 3
Is -5082 divisible by 847?
Yes, -5082 is divisible by 847.
Explanation
Ignoring the negative sign, check 5082:
1) Break it into the last three digits, 082.
2) Check if 082 is a remainder when subtracted from a multiple of 847.
3) Since 5082 is exactly 6 times 847, it is divisible.
Problem 4
Can 4239 be divisible by 847 following a made-up divisibility rule?
No, 4239 isn't divisible by 847.
Explanation
Using our hypothetical rule:
1) Take the last three digits, 239.
2) Since 239 doesn't fit any subtraction from multiples of 847 without leaving a remainder, 4239 isn't divisible by 847.
Problem 5
Check the divisibility rule of 847 for 7619.
No, 7619 is not divisible by 847.
Explanation
Hypothetically check using last three digits:
1) Consider 619 as the relevant unit.
2) Since 7619 doesn't neatly divide into 847, there is a remainder, confirming non-divisibility.
FAQs on Divisibility Rule of 847
1.What is the divisibility rule for 847?
2.How many numbers are there between 1 and 5000 that are divisible by 847?
3. Is 2541 divisible by 847?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 847 apply to all the integers?
Important Glossaries for Divisibility Rule of 847
- 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 847 are 847, 1694, 2541, 3388, 4235.
- Subtraction: Subtraction is a process of finding out the difference between two numbers, by reducing one number from another.
- Integer: Integers are the numbers that include all whole numbers, negative numbers, and zero.
- Verify: To confirm the result by using another method, such as division, to check for accuracy.
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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.
