214 LearnersLast updated on May 26th, 2025
Divisibility Rule of 490
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 490.
What is the Divisibility Rule of 490?
The divisibility rule for 490 is a method by which we can find out if a number is divisible by 490 without using the division method. Let's check whether 4900 is divisible by 490 with the divisibility rule.
Step 1: Check if the number is divisible by 2, 5, and 49. Since 490=2×5×49, a number must be divisible by each of these factors to be divisible by 490.
Step 2: For divisibility by 2, check if the last digit is even. Here, 4900 ends in 0, an even number.
Step 3: For divisibility by 5, check if the last digit is 0 or 5. Here, 4900 ends in 0.
Step 4: For divisibility by 49, check using the divisibility rule for 49. Take the last two digits, 00, and double it to get 0. Subtract this from the remaining number, 49–0=49. Since 49 is a multiple of 49, 4900 is divisible by 49.
Since 4900 is divisible by 2, 5, and 49, it is also divisible by 490.
Tips and Tricks for Divisibility Rule of 490
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 490.
- Know the factors of 490: Memorize that 490=2×5×49 to quickly check divisibility. If a number is divisible by each factor, it is divisible by 490.
- Repeat the process for large numbers: Students should repeat the divisibility process for each factor until they confirm the number is divisible by all factors.
- 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 490
The divisibility rule of 490 helps us quickly check if a given number is divisible by 490, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not checking all factors.
Students should ensure they check divisibility by 2, 5, and 49.
Mistake 2
Ignoring the divisibility by 49.
Remember to use the divisibility rule for 49, which involves subtracting double the last two digits from the rest of the number.
Mistake 3
Confusing the steps.
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Mistake 4
Not considering negative values.
Students may disregard negative values, thinking divisibility rules don't apply. But the divisibility rule applies to negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Including the last digit in subtraction.
Students should keep in mind that they should exclude the last digit while subtracting and include all the remaining digits.
Divisibility Rule of 490 Examples
Problem 1
Is 2940 divisible by 490?
No, 2940 is not divisible by 490.
Explanation
To check the divisibility of 2940 by 490, we must ensure it meets the conditions for divisibility by both 10 and 49 (since 490 = 10 × 49).
1) The number ends in 0, so it is divisible by 10.
2) Next, check divisibility by 49. Divide the number 294 by 49. 294 ÷ 49 = 6 with a remainder.
Since the remainder is not 0, 2940 is not divisible by 490.
Problem 2
Check if 4900 is divisible by 490.
Yes, 4900 is divisible by 490.
Explanation
To determine if 4900 is divisible by 490, check for divisibility by both 10 and 49.
1) The number ends in 0, so it is divisible by 10.
2) Now check divisibility by 49. Divide 490 by 49. 490 ÷ 49 = 10 exactly.
Since both conditions are met, 4900 is divisible by 490.
Problem 3
Is -2450 divisible by 490?
Yes, -2450 is divisible by 490.
Explanation
For negative numbers, we check the absolute value for divisibility.
1) The number ends in 0, so it is divisible by 10.
2) Check divisibility by 49. Divide 245 by 49. 245 ÷ 49 = 5 exactly.
Since both conditions hold true, -2450 is divisible by 490.
Problem 4
Can 735 be divisible by 490 following the divisibility rule?
No, 735 is not divisible by 490.
Explanation
To check if 735 is divisible by 490, we examine divisibility by 10 and 49.
1) The number does not end in 0, so it is not divisible by 10.
2) There's no need to check divisibility by 49 as the first condition fails.
Therefore, 735 is not divisible by 490.
Problem 5
Check the divisibility rule of 490 for 14700.
Yes, 14700 is divisible by 490.
Explanation
To verify if 14700 is divisible by 490, we apply the divisibility rules for both 10 and 49.
1) The number ends in 0, making it divisible by 10.
2) Check divisibility by 49. Divide 1470 by 49. 1470 ÷ 49 = 30 exactly.
Since both conditions are satisfied, 14700 is divisible by 490.
FAQs on Divisibility Rule of 490
1.What is the divisibility rule for 490?
2.How many numbers are there between 1 and 1000 that are divisible by 490?
3.Is 2450 divisible by 490?
4.What if a number is divisible by only two of the factors?
5.Does the divisibility rule of 490 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 490?
7.What are some fun ways kids in United States can practice Divisibility Rule of 490 with numbers?
8.What role do numbers and Divisibility Rule of 490 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 490 skills?
Important Glossaries for Divisibility Rule of 490
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing division.
- Factors: Numbers that are multiplied together to obtain another number. For 490, the factors are 2, 5, and 49.
- Multiples: The results obtained by multiplying a number by integers. For example, multiples of 490 are 490, 980, 1470, etc.
- Even number: A number divisible by 2. The last digit of an even number is 0, 2, 4, 6, or 8.
- Subtraction: A mathematical operation that represents the operation of removing objects from a collection.
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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.
