Last updated on May 26th, 2025
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.
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.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule 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.
If the result we get after the subtraction is negative, consider its absolute value for checking the divisibility of a number.
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.
Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
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.
Is 1402 divisible by 701?
Yes, 1402 is divisible by 701.
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.
Check the divisibility rule of 701 for 2103.
Yes, 2103 is divisible by 701.
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.
Is -3505 divisible by 701?
Yes, -3505 is divisible by 701.
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.
Can 490 be divisible by 701 following the divisibility rule?
No, 490 isn't divisible by 701.
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.
Check the divisibility rule of 701 for 7010.
Yes, 7010 is divisible by 701.
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.
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.
: She loves to read number jokes and games.