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100 LearnersLast updated on March 30th, 2025
Divisibility Rule of 485
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 485.
What is the Divisibility Rule of 485?
The divisibility rule for 485 is a method by which we can find out if a number is divisible by 485 or not without using the division method. Check whether 970 is divisible by 485 with the divisibility rule.
Step 1: Break down 485 into its prime factors, which are 5, 97, and 1.
Step 2: Check if the number is divisible by each of these factors.
Example: 970 is divisible by 5 because it ends in 0. Then check 970 ÷ 97, which does not result in an integer.
Step 3: Since 970 is not divisible by 97, it is not divisible by 485.
Tips and Tricks for Divisibility Rule of 485
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 485.
- Know the multiples of 485: Memorize the multiples of 485 (485, 970, 1455, etc.) to quickly check divisibility.
- Use prime factorization: Knowing the factors can help you quickly determine divisibility by checking smaller calculations.
- Repeat the process for large numbers: For large numbers, break them down and check against each factor to ensure divisibility.
- 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 485
The divisibility rule of 485 helps us quickly check if a given number is divisible by 485, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not breaking down into prime factors.
Always start by breaking down 485 into 5, 97, and 1 to check divisibility.
Divisibility Rule of 485 Examples
Problem 1
Is 4850 divisible by 485?
Yes, 4850 is divisible by 485.
Explanation
To check divisibility by 485, follow these steps:
1) Recognize that 4850 ends with a zero, indicating potential divisibility by 485 (since 485 x 10 = 4850).
2) Divide 4850 by 485 to confirm: 4850 ÷ 485 = 10, which is an integer.
3) Therefore, 4850 is divisible by 485.
Problem 2
Check if 2425 is divisible by 485.
No, 2425 is not divisible by 485.
Explanation
To determine if 2425 is divisible by 485, follow these steps:
1) Check if the number is a multiple of 5, which it is, since it ends in 5.
2) Divide 2425 by 485 to see if the quotient is an integer: 2425 ÷ 485 ≈ 5.
3) Since the quotient is not an integer, 2425 is not divisible by 485.
Problem 3
Is 970 divisible by 485?
Yes, 970 is divisible by 485.
Explanation
To check if 970 is divisible by 485, follow these steps:
1) Recognize that 970 is exactly twice 485 (485 x 2 = 970).
2) Therefore, 970 is divisible by 485.
Problem 4
Can 1455 be divisible by 485?
No, 1455 isn't divisible by 485.
Explanation
To check if 1455 is divisible by 485, follow these steps:
1) Divide 1455 by 485: 1455 ÷ 485 = 3.
2) The quotient is an integer, but to confirm, multiply back: 485 x 3 = 1455.
3) Since the multiplication confirms the division, 1455 is actually divisible by 485, correcting the initial answer.
Problem 5
Check the divisibility rule of 485 for 9700.
Yes, 9700 is divisible by 485.
Explanation
To check the divisibility of 9700 by 485, follow these steps:
1) Recognize that 9700 is 20 times 485 (485 x 20 = 9700).
2) Divide 9700 by 485 to confirm: 9700 ÷ 485 = 20, an integer.
3) Thus, 9700 is divisible by 485.
FAQs on Divisibility Rule of 485
1.What is the divisibility rule for 485?
2.How many numbers are there between 1 and 5000 that are divisible by 485?
3.Is 1455 divisible by 485?
4.What if I get 0 after checking?
5.Does the divisibility rule of 485 apply to all the integers?
Important Glossaries for Divisibility Rule of 485
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Prime factors: The prime numbers that multiply together to give a number. For 485, these are 5 and 97.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 485 are 485, 970, etc.
- Integer: A whole number that can be positive, negative, or zero.
- Verification: The process of confirming the divisibility through the division method or other means.
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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.
