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 49.
The divisibility rule for 49 is a method by which we can find out if a number is divisible by 49 or not without using the division method.
Check whether 2450 is divisible by 49 with the divisibility rule.
Step 1: Split the number into pairs of digits from right to left. Here in 2450, split it into 24 and 50.
Step 2: Subtract twice the last pair from the remaining pairs. i.e., 24 - (2 × 50) = 24 - 100 = -76.
Step 3: If needed, continue the process with the absolute value of the result until you reach a small number. For instance, split -76 into 0 and 76, then calculate 0 - (2 × 76) = 0 - 152 = -152.
Step 4: Since -152 is not a multiple of 49, 2450 is not divisible by 49.
Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 49.
The divisibility rule of 49 helps us to quickly check if the given number is divisible by 49, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Is 343 divisible by 49?
Yes, 343 is divisible by 49.
To verify this, divide 343 by 49. The quotient is 7, which is an integer, indicating that 343 is divisible by 49 (49 x 7 = 343).
Check the divisibility rule of 49 for 2450.
Yes, 2450 is divisible by 49.
To check, divide 2450 by 49. The quotient is 50, which is an integer, so 2450 is divisible by 49 (49 x 50 = 2450).
Is -441 divisible by 49?
Yes, -441 is divisible by 49.
For negative numbers, check divisibility using the positive equivalent. Divide 441 by 49. The quotient is 9, which is an integer, indicating that 441 is divisible by 49 (49 x 9 = 441). Therefore, -441 is also divisible by 49.
Can 500 be divisible by 49 following the divisibility rule?
No, 500 is not divisible by 49.
When we divide 500 by 49, the quotient is approximately 10.204. Since the result is not an integer, 500 is not divisible by 49.
Check the divisibility rule of 49 for 980.
Yes, 980 is divisible by 49.
Divide 980 by 49. The quotient is 20, which is an integer, indicating that 980 is divisible by 49 (49 x 20 = 980).
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.