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 712.
The divisibility rule for 712 is a method by which we can find out if a number is divisible by 712 or not without using the division method. Check whether 4272 is divisible by 712 with the divisibility rule.
Step 1: Separate the last three digits of the number, here in 4272, 272 is the last three digits.
Step 2: Subtract the last three digits from the remaining part of the number. i.e., 4 - 272 = -268.
Step 3: If the result from step 2 is a multiple of 712 or zero, then the number is divisible by 712. If the result is not a multiple of 712, then the number isn't divisible by 712.
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 712.
Memorize the multiples of 712 (712, 1424, 2136, 2848…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 712, then the number is divisible by 712.
If the result we get after the subtraction is negative, we will consider its absolute value for checking the divisibility of a number.
Students should keep repeating the divisibility process until they reach a small number that is easily checked for divisibility by 712. For example: Check if 7128 is divisible by 712 using the divisibility test.
Separate the last three digits, i.e., 128. Subtract the remaining digits from 128, 7 - 128 = -121.
Since -121 is not easily checked for divisibility by 712, repeat the process with smaller numbers if necessary.
Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
The divisibility rule of 712 helps us to quickly check if a given number is divisible by 712, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Is 2848 divisible by 712?
Yes, 2848 is divisible by 712.
To check if 2848 is divisible by 712, consider:
1) Break down the number into parts that can be easily checked.
2) Recognize that 2848 = 712 × 4.
3) Therefore, 2848 is divisible by 712 since it is a direct multiple.
Check the divisibility rule of 712 for 5680.
No, 5680 is not divisible by 712.
For checking the divisibility rule of 712 for 5680:
1) Divide 5680 by 712.
2) The quotient is not a whole number.
3) Therefore, 5680 is not divisible by 712.
Is -1424 divisible by 712?
Yes, -1424 is divisible by 712.
To check if -1424 is divisible by 712:
1) Remove the negative sign and check 1424.
2) Divide 1424 by 712, yielding a quotient of 2.
3) Thus, -1424 is divisible by 712.
Can 2136 be divisible by 712 following the divisibility rule?
No, 2136 isn't divisible by 712.
To check if 2136 is divisible by 712:
1) Divide 2136 by 712.
2) The result is not a whole number.
3) Therefore, 2136 is not divisible by 712.
Check the divisibility rule of 712 for 4976.
Yes, 4976 is divisible by 712.
To check the divisibility rule of 712 for 4976:
1) Divide 4976 by 712.
2) The quotient is 7, which is a whole number.
3) Thus, 4976 is divisible by 712.
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.