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127 LearnersLast updated on February 13th, 2025
Divisibility Rule of 451
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 451.
What is the Divisibility Rule of 451?
The divisibility rule for 451 is a method by which we can find out if a number is divisible by 451 or not without using the division method.
Check whether 902 is divisible by 451 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 902, 2 is the last digit, multiply it by 2. 2 × 2 = 4.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 90–4 = 86.
Step 3: As it is shown that 86 is not a multiple of 451, the number is not divisible by 451. If the result from step 2 isn't a multiple of 451, then the number isn't divisible by 451.
Tips and Tricks for Divisibility Rule of 451
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 451.
- Know the multiples of 451: Memorize the multiples of 451 (451, 902, 1353, 1804, 2255...etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 451, then the number is divisible by 451.
- Use the negative numbers: If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 451.
For example: Check if 4509 is divisible by 451 using the divisibility test.
Multiply the last digit by 2, i.e., 9 × 2 = 18. Subtract the remaining digits excluding the last digit by 18, 450–18 = 432.
Since 432 is not a multiple of 451, 4509 is not divisible by 451.
- Use the division method to verify: 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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 451
The divisibility rule of 451 helps us quickly check if a given number is divisible by 451, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which are multiplying the last digit by 2 and then subtracting the result from the remaining digits excluding the last digit, and checking whether it is a multiple of 451.
Divisibility Rule of 451 Examples
Problem 1
Is 902 divisible by 451?
No, 902 is not divisible by 451.
Explanation
To check if 902 is divisible by 451, we can use a similar concept as other divisibility rules, but directly divide since there's no simple rule for 451. 902 divided by 451 equals approximately 2, which is not an integer, indicating 902 is not divisible by 451.
Problem 2
Check the divisibility rule of 451 for 451.
Yes, 451 is divisible by 451.
Explanation
Any number is divisible by itself. Therefore, 451 divided by 451 equals 1, which is an integer, confirming that 451 is divisible by 451.
Problem 3
Is 1804 divisible by 451?
No, 1804 is not divisible by 451.
Explanation
To determine if 1804 is divisible by 451, divide 1804 by 451. The result is approximately 4, which is not an integer, indicating that 1804 is not divisible by 451.
Problem 4
Can 2255 be divisible by 451?
No, 2255 isn't divisible by 451.
Explanation
To check if 2255 is divisible by 451, divide 2255 by 451. The quotient is approximately 5, which is not an integer, showing that 2255 is not divisible by 451.
Problem 5
Check the divisibility rule of 451 for 9020.
No, 9020 is not divisible by 451.
Explanation
To verify if 9020 is divisible by 451, divide 9020 by 451. The result is approximately 20, which is not an integer, indicating that 9020 is not divisible by 451.
FAQs on Divisibility Rule of 451
1.What is the divisibility rule for 451?
2.How many numbers are there between 1 and 5000 that are divisible by 451?
3.Is 902 divisible by 451?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 451 apply to all integers?
Important Glossaries for Divisibility Rule of 451
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not, without performing division.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 451 are 451, 902, 1353, 1804...
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding the difference between two numbers by reducing one number from another.
- Verification: Verification is the process of confirming the correctness of a result through alternative methods, such as using the division method to check divisibility.
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Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
