Last updated on May 26th, 2025
The divisibility rule is a way 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 579.
The divisibility rule for 579 is a method by which we can find out if a number is divisible by 579 or not without using the division method.
Check whether 1737 is divisible by 579 with the divisibility rule.
Step 1: Multiply the last three digits of the number by 2. Here in 1737, 737 are the last three digits, multiply it by 2. 737 × 2 = 1474
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last three digits. i.e., 1–1474 = -1473.
Step 3: As it is shown that -1473 is not a multiple of 579, therefore, the number is not divisible by 579. If the result from step 2 is a multiple of 579, then the number is divisible by 579.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 579.
The divisibility rule of 579 helps us to quickly check if the given number is divisible by 579, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Is 2316 divisible by 579?
Yes, 2316 is divisible by 579.
To determine if 2316 is divisible by 579, let's use the unique divisibility rule for 579.
1) Multiply the last digit by a certain factor (for this scenario, let's assume it's 4), 6 × 4 = 24.
2) Subtract the result from the remaining number excluding the last digit, 231 - 24 = 207.
3) Check if 207 is divisible by 579. Since 207 is still larger than 579, repeat the process.
4) Multiply the last digit of 207 by 4, 7 × 4 = 28.
5) Subtract the result from the remaining number, 20 - 28 = -8.
6) Since -8 is not divisible by 579, the initial assumption was incorrect, and thus, the process needs more refinement.
Determine if 4629 is divisible by 579.
No, 4629 is not divisible by 579.
Applying the divisibility rule for 579:
1) Multiply the last digit of 4629 by 4, 9 × 4 = 36.
2) Subtract the result from the remaining number excluding the last digit, 462 - 36 = 426.
3) Check if 426 is divisible by 579. Since 426 is less than 579 and not a multiple, 4629 is not divisible by 579.
Can -1737 be divided by 579 without a remainder?
Yes, -1737 is divisible by 579.
To check divisibility for a negative number, we can evaluate the positive equivalent:
1) Multiply the last digit of 1737 by 4, 7 × 4 = 28.
2) Subtract the result from the remaining number, 173 - 28 = 145.
3) Since further reduction is needed, multiply the last digit of 145 by 4, 5 × 4 = 20.
4) Subtract from the rest, 14 - 20 = -6.
5) Since the process does not yield a valid multiple of 579, further exploration is required.
Is 2895 divisible by 579 using the divisibility rule?
No, 2895 is not divisible by 579.
Applying the rule:
1) Multiply the last digit by 4, 5 × 4 = 20.
2) Subtract from the remaining digits, 289 - 20 = 269.
3) As 269 is less than 579 and not a multiple, 2895 is not divisible by 579.
Is 1158 divisible by 579?
Yes, 1158 is divisible by 579.
To verify using the divisibility rule:
1) Multiply the last digit by 4, 8 × 4 = 32.
2) Subtract from the remaining number, 115 - 32 = 83.
3) Since 83 is not a direct multiple of 579, repeat more steps or analyze further to conclude the divisibility through direct division.
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.