Last updated on May 26th, 2025
The divisibility rule is a method to determine 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 713.
The divisibility rule for 713 is a method by which we can find out if a number is divisible by 713 without using the division method. Check whether 2139 is divisible by 713 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2. Here in 2139, 9 is the last digit, so multiply it by 2. 9 × 2 = 18.
Step 2: Subtract the result from Step 1 from the remaining digits, but do not include the last digit. i.e., 213–18 = 195.
Step 3: As 195 is not a multiple of 713, we repeat the process with 195. Multiply the last digit by 2, i.e., 5 × 2 = 10, and subtract from the remaining digits: 19–10 = 9.
Step 4: Since 9 is not a multiple of 713, the original number 2139 is not divisible by 713.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 713.
Memorize the multiples of 713 (713, 1426, 2139, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 713, then the number is divisible by 713.
If the result we get after the subtraction is negative, we will ignore the symbol and consider it as positive for checking the divisibility of a number.
Students should keep repeating the divisibility process until they reach a small number that is divisible by 713. For example: Check if 4278 is divisible by 713 using the divisibility test. Multiply the last digit by 2, i.e., 8 × 2 = 16. Subtract the remaining digits excluding the last digit by 16, 427–16 = 411. Since 411 is a large number, repeat the process. Multiply the last digit by 2, i.e., 1 × 2 = 2. Subtract from remaining numbers: 41–2 = 39. As 39 is not a multiple of 713, 4278 is not divisible by 713
Students can use the division method to verify and crosscheck their results. This will help them to verify and also learn.
The divisibility rule of 713 helps us quickly check if a given number is divisible by 713, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Is 1426 divisible by 713?
Yes, 1426 is divisible by 713.
To check the divisibility of 1426 by 713:
1) Divide 1426 by 713: 1426 ÷ 713 = 2.
2) Since the result is an integer, 1426 is divisible by 713.
Check the divisibility rule of 713 for 2139.
Yes, 2139 is divisible by 713.
To check the divisibility of 2139 by 713:
1) Divide 2139 by 713: 2139 ÷ 713 = 3.
2) Since the result is an integer, 2139 is divisible by 713.
Is -2848 divisible by 713?
Yes, -2848 is divisible by 713.
To check if -2848 is divisible by 713:
1) Remove the negative sign and divide 2848 by 713: 2848 ÷ 713 = 4.
2) Since the result is an integer, -2848 is divisible by 713.
Can 1800 be divisible by 713 following the divisibility rule?
No, 1800 isn't divisible by 713.
To check if 1800 is divisible by 713:
1) Divide 1800 by 713: 1800 ÷ 713 ≈ 2.524.
2) Since the result is not an integer, 1800 is not divisible by 713.
Check the divisibility rule of 713 for 3565.
Yes, 3565 is divisible by 713.
To check the divisibility of 3565 by 713:
1) Divide 3565 by 713: 3565 ÷ 713 = 5.
2) Since the result is an integer, 3565 is divisible by 713.
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.