Divisibility Rule of 791

The divisibility rule for 791 is a method by which we can find out if a number is divisible by 791 or not without using the division method. Check whether 1582 is divisible by 791 with the divisibility rule.

Step 1: Separate the number into two parts, the last three digits and the rest of the number. Here in 1582, separate it into 582 and 1. 

Step 2: Multiply the first part (582) by 9. 582 × 9 = 5238.

Step 3: Subtract the result from Step 2 from the second part (1). 1 - 5238 = -5237.

Step 4: Check if the result from Step 3 is a multiple of 791 or zero. If it is, the number is divisible by 791. Since -5237 is not a multiple of 791, 1582 is not divisible by 791.

 

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 791.

Know the multiples of 791:

Memorize the multiples of 791 (791, 1582, 2373, 3164…etc.) to quickly check the divisibility. If the result from subtraction is a multiple of 791 or zero, then the number is divisible by 791.

Use absolute values:

If the result we get after subtraction is negative, 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 to check against 791. 

For example: Check if 3164 is divisible by 791 using the divisibility test. Separate 3164 into 164 and 3. Multiply the first part (164) by 9, i.e., 164 × 9 = 1476. Subtract the remaining digits 3 from 1476, 3 - 1476 = -1473. Since -1473 is not a multiple of 791, 3164 is not divisible by 791.

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.
 

• Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing division. 

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 791 are 791, 1582, 2373, and so on.

• Subtraction: A process of finding the difference between two numbers by reducing one number from another.

• Absolute value: The non-negative value of a number without regard to its sign.

• Integers: Numbers that include all whole numbers, negative numbers, and zero.