Last updated on May 26th, 2025
The divisibility rule is a way to determine if a number is divisible by another number without using the division method. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 717.
Step 1: Multiply the last digit of the number by 2. Here in 7170, 0 is the last digit, so multiply it by 2. 0 × 2 = 0.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 717–0 = 717.
Step 3: As 717 is a multiple of 717, the number is divisible by 717. If the result from step 2 isn't a multiple of 717, then the number isn't divisible by 717.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 717.
Memorize the multiples of 717 (717, 1434, 2151, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 717, then the number is divisible by 717.
If the result we get after the subtraction is negative, we will ignore the symbol and consider it as positive for checking divisibility.
Students should keep repeating the divisibility process until they reach a small number that is divisible by 717.
For example, check if 14343 is divisible by 717 using the divisibility test. Multiply the last digit by 2, i.e., 3 × 2 = 6. Subtract the remaining digits excluding the last digit by 6, 1434–6 = 1428. Repeat the process: 8 × 2 = 16, 142–16 = 126. As 126 is not a multiple of 717, 14343 is not divisible by 717.
Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
The divisibility rule of 717 helps us quickly check if the given number is divisible by 717, but common mistakes like calculation errors lead to incorrect results. Here we understand some common mistakes and how to avoid them.
Is 1434 divisible by 717?
Yes, 1434 is divisible by 717.
To check if 1434 is divisible by 717, use the divisibility rule:
1) Divide 1434 by 717.
2) If the result is an integer, the number is divisible.
3) 1434 ÷ 717 = 2, which is an integer, so 1434 is divisible by 717.
Check the divisibility rule of 717 for 2151.
No, 2151 is not divisible by 717.
For checking the divisibility rule of 717 for 2151,
1) Divide 2151 by 717.
2) If the result is not an integer, the number is not divisible.
3) 2151 ÷ 717 ≈ 3.001, which is not an integer, so 2151 is not divisible by 717.
Is 717 divisible by 717?
Yes, 717 is divisible by 717.
To check if 717 is divisible by 717:
1) Remove the negative sign and divide the absolute value by 717.
2) 717 becomes 717, and 717 ÷ 717 = 1, which is an integer.
3) Therefore, 717 is divisible by 717.
Can 500 be divisible by 717 following the divisibility rule?
No, 500 isn't divisible by 717.
To check if 500 is divisible by 717, follow the steps:
1) Divide 500 by 717.
2) If the result is not an integer, the number is not divisible.
3) 500 ÷ 717 ≈ 0.697, which is not an integer, so 500 is not divisible by 717.
Check the divisibility rule of 717 for 2151.
No, 2151 is not divisible by 717.
To check the divisibility rule of 717 for 2151, follow the steps:
1) Divide 2151 by 717.
2) If the result is not an integer, the number is not divisible.
3) 2151 ÷ 717 ≈ 3.001, which is not an integer, so 2151 is not divisible by 717.
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.