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Last updated on February 18th, 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 971.
The divisibility rule for 971 is a method by which we can find out if a number is divisible by 971 or not without using the division method. Check whether 185342 is divisible by 971 with the divisibility rule.
Step 1: Break down 971 into its prime factors, which are 7, 13, and 11. We will use these factors to check divisibility.
Step 2: To check if a number is divisible by 971, it must be divisible by 7, 13, and 11. Follow the divisibility rules for each of these numbers on 185342.
For 7: Double the last digit and subtract it from the rest of the number. Repeat the process if necessary.
For 13: Subtract 9 times the last digit from the rest of the number. Repeat the process if necessary.
For 11: Alternate subtracting and adding the digits of the number.
Step 3: If the number passes the divisibility test for 7, 13, and 11, it is divisible by 971. Otherwise, it is not.
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 971.
Memorize the multiples of 971 (971, 1942, 2913...etc.) to quickly check divisibility. If the result from the tests is a multiple of 971, then the number is divisible by 971.
If the result we get after subtraction is negative, consider it as positive for checking divisibility.
Students should keep repeating the divisibility process for 7, 13, and 11 until they reach a small number that is divisible by them. For example, to check if 185342 is divisible by 971, apply the rules for 7, 13, and 11.
Students can use the division method as a way to verify and crosscheck their results. This will help them verify and learn.
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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.