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 97.
The divisibility rule for 97 is a method by which we can find out if a number is divisible by 97 or not without using the division method. Check whether 4858 is divisible by 97 with the divisibility rule.
Step 1: Multiply the last digit of the number by 29, here in 4858, 8 is the last digit, multiply it by 29. 8 × 29 = 232.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 485–232 = 253.
Step 3: As it is shown that 253 is a multiple of 97, therefore, the number is divisible by 97. If the result from step 2 isn't a multiple of 97, then the number isn't divisible by 97.
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 97.
The divisibility rule of 97 helps us to quickly check if the given number is divisible by 97, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Is 9700 divisible by 97?
Yes, 9700 is divisible by 97.
To check if 9700 is divisible by 97, follow these steps:
1) Multiply the last digit of the number by 29, which is a part of the divisibility rule for 97. So, 0 × 29 = 0.
2) Subtract the result from the remaining number excluding the last digit, 970 - 0 = 970.
3) Check if 970 is divisible by 97. Yes, 970 is divisible by 97 (97 × 10 = 970).
Check the divisibility rule of 97 for 485.
No, 485 is not divisible by 97.
To check if 485 is divisible by 97, use the rule:
1) Multiply the last digit by 29, 5 × 29 = 145.
2) Subtract the result from the remaining digits, excluding the last digit, 48 - 145 = -97.
3) Check if the result is a multiple of 97. Though we reached -97, it is already the negative form of 97, indicating divisibility. However, since our subtraction exceeded the number of digits, a direct check confirms that 485 is not divisible by 97.
Is -1940 divisible by 97?
Yes, -1940 is divisible by 97.
For a negative number -1940, remove the negative sign first:
1) Multiply the last digit by 29, 0 × 29 = 0.
2) Subtract the result from the remaining digits excluding the last digit, 194 - 0 = 194.
3) Check if 194 is divisible by 97. Yes, 194 is divisible by 97 (97 × 2 = 194).
Can 2912 be divisible by 97 following the divisibility rule?
Yes, 2912 is divisible by 97.
To see if 2912 is divisible by 97, follow these steps:
1) Multiply the last digit by 29, 2 × 29 = 58.
2) Subtract the result from the remaining digits excluding the last digit, 291 - 58 = 233.
3) Check if 233 is divisible by 97. Yes, 233 is divisible by 97 (97 × 2 + 39, check reveals a mistake in initial calculation, confirming it's not divisible).
Check the divisibility rule of 97 for 9703.
No, 9703 is not divisible by 97.
To check if 9703 is divisible by 97, apply the rule:
1) Multiply the last digit by 29, 3 × 29 = 87.
2) Subtract the result from the remaining digits, excluding the last digit, 970 - 87 = 883.
3) Check if 883 is divisible by 97. No, 883 is not divisible by 97.
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.