Last updated on May 26th, 2025
The divisibility rule is a way to determine 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 491.
The divisibility rule for 491 is a method by which we can find out if a number is divisible by 491 or not without using the division method. Check whether 2455 is divisible by 491 with the divisibility rule.
Step 1: Calculate the number formed by the last three digits of the number. Here, in 2455, the last three digits form 455.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last three digits. i.e., 2–455 = -453.
Step 3: If the result from step 2 is a multiple of 491, then the number is divisible by 491. If not, the number isn't divisible by 491.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 491.
The divisibility rule of 491 helps us quickly check if a given number is divisible by 491, but common mistakes like calculation errors can lead to incorrect results. Here, we will understand some common mistakes and how to avoid them.
Is 982 divisible by 491?
No, 982 is not divisible by 491.
To check divisibility by 491, let's use a unique method for this context.
1) Consider splitting the number in half and subtracting the smaller half from the larger half. Here, 98 - 82 = 16.
2) Check if 16 is divisible by 491. No, 16 is not divisible by 491.
Thus, 982 is not divisible by 491.
Determine if 2455 is divisible by 491.
No, 2455 is not divisible by 491.
To check for divisibility by 491, we can use this method:
1) Divide the number into two parts: 24 and 55.
2) Subtract the sum of the digits of the second part from the first part, 24 - (5 + 5) = 14.
3) Check if 14 is divisible by 491. No, 14 is not divisible by 491.
Therefore, 2455 is not divisible by 491.
Is -1473 divisible by 491?
Yes, -1473 is divisible by 491.
To check if -1473 is divisible by 491, we remove the negative sign and apply the method:
1) Split the number into two parts: 147 and 3.
2) Subtract the sum of the digits of the second part from the first part, 147 - 3 = 144.
3) Check if 144 is divisible by 491. Yes, 1473 divided by 491 equals 3, which is an integer quotient.
Thus, -1473 is divisible by 491.
Can 343 be divisible by 491 following this divisibility method?
No, 343 is not divisible by 491.
To check if 343 is divisible by 491:
1) Split the number into two parts: 34 and 3.
2) Subtract the sum of the digits of the second part from the first part, 34 - 3 = 31.
3) Check if 31 is divisible by 491. No, 31 is not divisible by 491.
Therefore, 343 is not divisible by 491.
Check the divisibility rule of 491 for 9820.
No, 9820 is not divisible by 491.
To check the divisibility of 9820 by 491:
1) Consider the first three digits as one number and the last digit separately: 982 and 0.
2) Subtract the last digit from the first three digits, 982 - 0 = 982.
3) Check if 982 is divisible by 491. No, 982 divided by 491 equals 2, but with a remainder.
Thus, 9820 is not divisible by 491.
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.