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 51.
The divisibility rule for 51 is a method by which we can determine if a number is divisible by 51 without using the division method. Check whether 408 is divisible by 51 using the divisibility rule.
Step 1: Check if the number is divisible by both 3 and 17, as 51 is the product of these two numbers.
- To check for divisibility by 3: Sum the digits of the number. If the sum is divisible by 3, then the number is divisible by 3. In 408, the sum of the digits is 4+0+8=12, which is divisible by 3.
- To check for divisibility by 17: Divide the number by 17 to see if it results in a whole number. Here, 408 ÷ 17 = 24, which is a whole number.
Since 408 is divisible by both 3 and 17, it is also divisible by 51.
Learning divisibility rules will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 51.
The divisibility rule of 51 helps us quickly check if a given number is divisible by 51, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Is 561 divisible by 51?
Yes, 561 is divisible by 51.
To check if 561 is divisible by 51, we can use the divisibility rule for 51.
1) Multiply the last digit of the number by 5, 1 × 5 = 5.
2) Subtract the result from the remaining digits, excluding the last digit, 56 – 5 = 51.
3) Check if the result is a multiple of 51. Yes, 51 is a multiple of 51 (51 × 1 = 51).
Check the divisibility rule of 51 for 102.
Yes, 102 is divisible by 51.
For checking the divisibility rule of 51 for 102,
1) Multiply the last digit of the number by 5, 2 × 5 = 10.
2) Subtract the result from the remaining digits, excluding the last digit, 10 – 10 = 0.
3) The result is 0, which indicates that 102 is divisible by 51.
Is 408 not divisible by 51?
No, 408 is not divisible by 51.
To verify if 408 is divisible by 51, we follow the steps:
1) Multiply the last digit of the number by 5, 8 × 5 = 40.
2) Subtract the result from the remaining digits, excluding the last digit, 40 – 40 = 0.
3) Check if the result is a multiple of 51. No, 0 is not a multiple of 51.
Can 255 be divisible by 51 following the divisibility rule?
No, 255 isn't divisible by 51.
To check if 255 is divisible by 51, we follow these steps:
1) Multiply the last digit of the number by 5, 5 × 5 = 25.
2) Subtract the result from the remaining digits, excluding the last digit, 25 – 25 = 0.
3) Check if the result is a multiple of 51. No, 0 isn't a multiple of 51.
Check the divisibility rule of 51 for 204.
Yes, 204 is divisible by 51.
To determine if 204 is divisible by 51, follow these steps:
1) Multiply the last digit of the number by 5, 4 × 5 = 20.
2) Subtract the result from the remaining digits, excluding the last digit, 20 – 20 = 0.
3) The result is 0, indicating that 204 is divisible by 51.
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.