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. 

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.

• 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.