Last updated on May 26th, 2025
The divisibility rule is a way to determine whether a number is divisible by another number without performing an actual division. In real life, we use divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 98.
The divisibility rule for 98 is a method by which we can ascertain if a number is divisible by 98 without using traditional division. Check whether 1176 is divisible by 98 using the divisibility rule.
Step 1: Check if the number is divisible by both 2 and 49. A number is divisible by 98 if it is divisible by both of these numbers because 98=2×49.
Step 2: For divisibility by 2, the number should be even. Since 1176 ends in 6, it is an even number and thus divisible by 2.
Step 3: To check divisibility by 49, take the number's last two digits. Here, 76 is the last two digits. 76 is not divisible by 49.
Since 76 is not divisible by 49, 1176 is not divisible by 98.
Understanding the divisibility rule can help students master division. Let’s explore some tips and tricks for the divisibility rule of 98.
The divisibility rule of 98 helps us quickly check if a given number is divisible by 98, but common mistakes can lead to incorrect conclusions. Here, we address some frequent errors to help you avoid them.
Is 196 divisible by 98?
Yes, 196 is divisible by 98.
To check if 196 is divisible by 98, follow these steps:
1) Divide 196 by 98 directly: 196 ÷ 98 = 2.
2) Since the result is a whole number, 196 is divisible by 98.
Can 294 be checked for divisibility by 98 using any shortcuts?
Yes, 294 is divisible by 98.
To determine if 294 is divisible by 98:
1) Divide 294 by 98 directly: 294 ÷ 98 = 3.
2) The result is a whole number, thus 294 is divisible by 98.
Is -490 divisible by 98?
Yes, -490 is divisible by 98.
To check if -490 is divisible by 98, let's remove the negative sign and check the divisibility.
1) Divide 490 by 98: 490 ÷ 98 = 5.
2) The result is a whole number, so -490 is divisible by 98.
Check if 100 is divisible by 98.
No, 100 is not divisible by 98.
To check if 100 is divisible by 98, perform the division:
1) Divide 100 by 98: 100 ÷ 98 ≈ 1.02.
2) The result is not a whole number, hence 100 is not divisible by 98.
Is 980 divisible by 98?
Yes, 980 is divisible by 98.
To check the divisibility of 980 by 98, follow these steps:
1) Divide 980 by 98: 980 ÷ 98 = 10.
2) The result is a whole number, therefore 980 is divisible by 98.
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.