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 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.
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the 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.
Is 2940 divisible by 490?
No, 2940 is not divisible by 490.
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.
Check if 4900 is divisible by 490.
Yes, 4900 is divisible by 490.
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.
Is -2450 divisible by 490?
Yes, -2450 is divisible by 490.
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.
Can 735 be divisible by 490 following the divisibility rule?
No, 735 is not divisible by 490.
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.
Check the divisibility rule of 490 for 14700.
Yes, 14700 is divisible by 490.
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.
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.