142 LearnersLast updated on May 26th, 2025
Divisibility Rule of 701
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 701.
What is the Divisibility Rule of 701?
The divisibility rule for 701 is a method by which we can find out if a number is divisible by 701 or not without using the division method. Check whether 1402 is divisible by 701 with the divisibility rule.
Step 1: Consider the last three digits of the number, here in 1402, 402 is the last three digits.
Step 2: Subtract the last three digits from the remaining part of the number. i.e., 1–402 = -401.
Step 3: If the result is a multiple of 701 or zero, then the number is divisible by 701. In this case, -401 is not a multiple of 701, so 1402 is not divisible by 701.
Tips and Tricks for Divisibility Rule of 701
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 701.
Know the multiples of 701:
Memorize the multiples of 701 (701, 1402, 2103, 2804, 3505…etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 701, then the number is divisible by 701.
Use the absolute value:
If the result we get after the subtraction is negative, consider its absolute value 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 to determine divisibility by 701.
For example: Check if 7010 is divisible by 701 using the divisibility test.
Consider the last three digits: 010.
Subtract 010 from the remaining digits: 7 - 10 = -3.
Since -3 is not a multiple of 701, 7010 is not divisible by 701.
Use the division method to verify:
Students can use the division method as a way 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 701
The divisibility rule of 701 helps us to quickly check if the given number is divisible by 701, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps by subtracting the last three digits from the remaining part of the number and checking whether it is a multiple of 701.
Mistake 2
Including the last three digits in subtraction.
Students should keep in mind that they should subtract the last three digits from the rest of the number.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after getting a large result. The process should be repeated until a small number is achieved.
Mistake 4
Not considering absolute values.
Students should consider the absolute value of negative results when checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps. Regular practice can help avoid this error.
Divisibility Rule of 701 Examples
Problem 1
Is 1402 divisible by 701?
Yes, 1402 is divisible by 701.
Explanation
Let's apply the divisibility rule for 701.
1) Separate the last digit from the rest of the number: 140 and 2.
2) Multiply the last digit by 2: 2 × 2 = 4.
3) Subtract this result from the remaining number: 140 - 4 = 136.
4) Check if 136 is divisible by 701. Since 136 is not, check the original number: 1402 ÷ 701 = 2. Therefore, 1402 is divisible by 701.
Problem 2
Check the divisibility rule of 701 for 2103.
Yes, 2103 is divisible by 701.
Explanation
Yes, 2103 is divisible by 701.
Explanation: To verify the divisibility of 2103 by 701:
1) Separate the last digit from the rest of the number: 210 and 3.
2) Multiply the last digit by 2: 3 × 2 = 6.
3) Subtract this from the remaining part: 210 - 6 = 204.
4) Check if 204 is a multiple of 701. Since it's not, check the original number: 2103 ÷ 701 = 3. Therefore, 2103 is divisible by 701.
Problem 3
Is -3505 divisible by 701?
Yes, -3505 is divisible by 701.
Explanation
To check if -3505 is divisible by 701:
1) Remove the negative sign and consider 3505.
2) Separate the last digit from the rest of the number: 350 and 5.
3) Multiply the last digit by 2: 5 × 2 = 10.
4) Subtract this from the remaining part: 350 - 10 = 340.
5) Check if 340 is divisible by 701. Since it's not, verify the original positive number: 3505 ÷ 701 = 5. Therefore, -3505 is divisible by 701.
Problem 4
Can 490 be divisible by 701 following the divisibility rule?
No, 490 isn't divisible by 701.
Explanation
Checking the divisibility of 490 by 701:
1) Separate the last digit from the rest of the number: 49 and 0.
2) Multiply the last digit by 2: 0 × 2 = 0.
3) Subtract this from the remaining part: 49 - 0 = 49.
4) Check if 49 is a multiple of 701. Since it's not, 490 is not divisible by 701.
Problem 5
Check the divisibility rule of 701 for 7010.
Yes, 7010 is divisible by 701.
Explanation
Yes, 7010 is divisible by 701.
Explanation: To verify 7010's divisibility by 701:
1) Separate the last digit from the rest of the number: 701 and 0.
2) Multiply the last digit by 2: 0 × 2 = 0.
3) Subtract this from the remaining part: 701 - 0 = 701.
4) Since 701 is itself divisible by 701, 7010 is divisible by 701.
FAQs on Divisibility Rule of 701
1.What is the divisibility rule for 701?
2.How many numbers between 1 and 1000 are divisible by 701?
3.Is 1402 divisible by 701?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 701 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 701?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 701 with numbers?
8.What role do numbers and Divisibility Rule of 701 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 701 skills?
Important Glossaries for Divisibility Rule of 701
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number without division.
- Multiples: The results obtained by multiplying a number by an integer.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Absolute value: The non-negative value of a number without regard to its sign.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
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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.
