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 71.
The divisibility rule for 71 is a method by which we can find out if a number is divisible by 71 or not without using the division method. Check whether 4977 is divisible by 71 with the divisibility rule.
Step 1: Double the last digit of the number, here in 4977, 7 is the last digit, so double it. 7 × 2 = 14.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 497–14 = 483.
Step 3: As it is shown that 483 is not a multiple of 71, continue the process: double the last digit of 483, which is 3, so 3 × 2 = 6. Subtract 6 from the remaining part, 48–6 = 42.
Step 4: Since 42 is not a multiple of 71, 4977 is not divisible by 71. If the result from the steps becomes a multiple of 71, then the number is divisible by 71.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 71.
The divisibility rule of 71 helps us quickly check if the given number is divisible by 71, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes to help you avoid them.
Is 5680 divisible by 71?
No, 5680 is not divisible by 71.
To check if 5680 is divisible by 71, we follow these steps:
1) Multiply the last two digits of the number by 7, 80 × 7 = 560.
2) Subtract the result from the remaining digits, excluding the last two digits, 56 – 560 = -504.
3) Check if -504 is a multiple of 71. No, -504 is not a multiple of 71.
Check the divisibility rule of 71 for 4977.
Yes, 4977 is divisible by 71.
To verify if 4977 is divisible by 71, follow these steps:
1) Multiply the last two digits by 7, 77 × 7 = 539.
2) Subtract the result from the remaining digits, excluding the last two digits, 49 – 539 = -490.
3) Check if -490 is a multiple of 71. Yes, -490 is a multiple of 71 (71 × -7 = -490).
Is -2131 divisible by 71?
No, -2131 is not divisible by 71.
To determine if -2131 is divisible by 71, ignore the negative sign and follow these steps:
1) Multiply the last two digits by 7, 31 × 7 = 217.
2) Subtract the result from the remaining digits, excluding the last two digits, 21 – 217 = -196.
3) Check if -196 is a multiple of 71. No, -196 is not a multiple of 71.
Can 852 be divisible by 71 following the divisibility rule?
No, 852 is not divisible by 71.
To check if 852 is divisible by 71, use the rule:
1) Multiply the last two digits by 7, 52 × 7 = 364.
2) Subtract the result from the remaining digits, excluding the last two digits, 8 – 364 = -356.
3) Check if -356 is a multiple of 71. No, -356 is not a multiple of 71.
Check the divisibility rule of 71 for 6397.
Yes, 6397 is divisible by 71.
To check the divisibility of 6397 by 71, follow these steps:
1) Multiply the last two digits by 7, 97 × 7 = 679.
2) Subtract the result from the remaining digits, excluding the last two digits, 63 – 679 = -616.
3) Check if -616 is a multiple of 71. Yes, -616 is a multiple of 71 (71 × -9 = -616).
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.