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 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.
If the result we get after subtraction is negative, consider it as positive for checking the divisibility of a number.
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.
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.
The divisibility rule of 791 helps us to quickly check if the given number is divisible by 791, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Is 2373 divisible by 791?
Yes, 2373 is divisible by 791.
To check if 2373 is divisible by 791, follow these steps:
1) Multiply the last digit by 9, 3 × 9 = 27.
2) Add the result to the remaining digits, excluding the last digit, 237 + 27 = 264.
3) Since 264 is a multiple of 264 (791 × 3 = 2373), the original number is divisible by 791.
Check the divisibility rule of 791 for 1582.
Yes, 1582 is divisible by 791.
To determine if 1582 is divisible by 791, follow these steps:
1) Multiply the last digit by 9, 2 × 9 = 18.
2) Add the result to the remaining digits, excluding the last digit, 158 + 18 = 176.
3) Since 176 is a multiple of 176 (791 × 2 = 1582), the original number is divisible by 791.
Is -791 divisible by 791?
Yes, -791 is divisible by 791.
To check if -791 is divisible by 791, disregard the negative sign and check the divisibility:
1) Multiply the last digit by 9, 1 × 9 = 9.
2) Add the result to the remaining digits, excluding the last digit, 79 + 9 = 88.
3) Verify that 88 is a multiple of 88 (791 × 1 = 791), confirming divisibility.
Can 1585 be divisible by 791 following the divisibility rule?
No, 1585 isn't divisible by 791.
To verify if 1585 is divisible by 791, apply the divisibility steps:
1) Multiply the last digit by 9, 5 × 9 = 45.
2) Add the result to the remaining digits, excluding the last digit, 158 + 45 = 203.
3) Since 203 isn't a multiple of 791, the original number is not divisible by 791.
Check the divisibility rule of 791 for 7910.
Yes, 7910 is divisible by 791.
To determine if 7910 is divisible by 791, apply the rule:
1) Multiply the last digit by 9, 0 × 9 = 0.
2) Add the result to the remaining digits, excluding the last digit, 791 + 0 = 791.
3) Since 791 is a multiple of 791 (791 × 10 = 7910), the number is divisible by 791.
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.