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 57.
The divisibility rule for 57 is a method by which we can find out if a number is divisible by 57 or not without using the division method. Check whether 285 is divisible by 57 with the divisibility rule.
Step 1: Divide the number into two parts: the last two digits and the rest of the number. For 285, the last two digits are 85, and the rest is 2.
Step 2: Multiply the rest of the number by 5, i.e., 2 × 5 = 10.
Step 3: Add the result from Step 2 to the last two digits. 85 + 10 = 95.
Step 4: Check if the result from Step 3 is a multiple of 57. Since 95 is not a multiple of 57, 285 is not divisible by 57.
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 57.
The divisibility rule of 57 helps us to quickly check if a given number is divisible by 57, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Does the number 4567 satisfy the divisibility rule of 57?
No, 4567 is not divisible by 57.
To check if 4567 is divisible by 57, use the rule:
1) Add the last digit, 7, to five times the remaining number, 456.
2) Calculate: 5 × 456 + 7 = 2287.
3) Since 2287 is not divisible by 57, neither is 4567.
Check if the number 6273 is divisible by 57.
Yes, 6273 is divisible by 57.
To verify the divisibility of 6273 by 57:
1) Add the last digit, 3, to five times the remaining number, 627.
2) Calculate: 5 × 627 + 3 = 3138.
3) Since 3138 is divisible by 57 (57 × 55 = 3138), 6273 is also divisible by 57.
Is -3645 divisible by 57?
No, -3645 is not divisible by 57.
To check if -3645 is divisible by 57, ignore the negative sign:
1) Add the last digit, 5, to five times the remaining number, 364.
2) Calculate: 5 × 364 + 5 = 1825.
3) Since 1825 is not divisible by 57, neither is -3645.
Can 8129 be divided by 57 using the divisibility rule?
No, 8129 isn't divisible by 57.
To determine if 8129 is divisible by 57:
1) Add the last digit, 9, to five times the remaining number, 812.
2) Calculate: 5 × 812 + 9 = 4069.
3) 4069 is not divisible by 57, so 8129 is not divisible by 57.
Verify if 11457 is divisible by 57.
Yes, 11457 is divisible by 57.
To check the divisibility of 11457 by 57:
1) Add the last digit, 7, to five times the remaining number, 1145.
2) Calculate: 5 × 1145 + 7 = 5732.
3) Since 5732 is divisible by 57 (57 × 100 = 5732), 11457 is also divisible by 57.
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.