Last updated on May 26th, 2025
The divisibility rule is a way to determine whether a number is divisible by another number without performing the division operation. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 397.
The divisibility rule for 397 is a method by which we can ascertain if a number is divisible by 397 without performing the division directly. Check whether 15881 is divisible by 397 using the divisibility rule.
Step 1: Multiply the last digit of the number by 17. In 15881, 1 is the last digit, so multiply it by 17. 1 × 17 = 17.
Step 2: Subtract the result from Step 1 from the remaining part of the number, excluding the last digit. That is, 1588 - 17 = 1571.
Step 3: Repeat the process for the result if necessary. For 1571, multiply the last digit (1) by 17, 1 × 17 = 17. Subtract from the remaining digits 157 - 17 = 140.
Step 4: Continue the process if necessary, but for this example, since 140 is not divisible by 397, 15881 is not divisible by 397.
Learning the divisibility rule helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 397.
The divisibility rule of 397 helps us quickly check if a given number is divisible by 397, but common mistakes like calculation errors can lead to incorrect results. Here, we will understand some common mistakes and how to avoid them.
Can the number 2382 be divided evenly by 397?
Yes, 2382 is divisible by 397.
To determine if 2382 is divisible by 397, follow these steps:
1) Divide the number by 397 directly: 2382 ÷ 397 = 6.
2) The division results in a whole number with no remainder, indicating that 2382 is divisible by 397.
Is 1588 divisible by 397?
Yes, 1588 is divisible by 397.
To verify if 1588 is divisible by 397, perform the following:
1) Divide the number by 397: 1588 ÷ 397 = 4.
2) The result is a whole number with no remainder, confirming that 1588 is divisible by 397.
Check if 1191 is divisible by 397.
No, 1191 is not divisible by 397.
To check divisibility:
1) Divide 1191 by 397: 1191 ÷ 397 = 3.
2) The result is not a whole number (with a remainder), indicating 1191 is not divisible by 397.
Can the number -794 be evenly divided by 397?
Yes, -794 is divisible by 397.
To check if -794 is divisible by 397, disregard the negative sign:
1) Divide 794 by 397: 794 ÷ 397 = 2.
2) The result is a whole number with no remainder, showing that -794 is divisible by 397.
Is the number 2985 divisible by 397?
No, 2985 is not divisible by 397.
To determine divisibility:
1) Divide 2985 by 397: 2985 ÷ 397 ≈ 7.52.
2) The result is not a whole number, which means 2985 is not divisible by 397.
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.