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 274.
The divisibility rule for 274 is a method by which we can determine if a number is divisible by 274 without using the division method. Let's check whether 548 is divisible by 274 using the divisibility rule.
Step 1: Divide the number into two parts. For example, in 548, consider 54 and 8.
Step 2: Multiply the last digit by 4. Here, 8 × 4 = 32.
Step 3: Subtract the result from Step 2 from the first part. i.e., 54 - 32 = 22.
Step 4: As 22 is not a multiple of 274, 548 is not divisible by 274. If the result from step 3 were a multiple of 274, then the number would be divisible by 274.
Learning the divisibility rule helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 274.
Memorize the multiples of 274 (274, 548, 822, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 274, then the number is divisible by 274.
If the result we get after subtraction is negative, we will ignore the symbol and consider it as positive for checking the divisibility of a number.
Students should keep repeating the divisibility process until they reach a small number that is divisible by 274. For example, check if 18196 is divisible by 274 using the divisibility test. Divide into two parts: 1819 and 6. Multiply the last digit by 4, i.e., 6 × 4 = 24. Subtract 24 from 1819, 1819 - 24 = 1795. Since 1795 is still large, repeat the process. Divide 1795 into 179 and 5. Multiply 5 × 4 = 20. Subtract 20 from 179, 179 - 20 = 159. 159 is not a multiple of 274, so 18196 is not divisible by 274.
Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
The divisibility rule of 274 helps us quickly check if a given number is divisible by 274, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Is 548 divisible by 274?
Yes, 548 is divisible by 274.
To determine if 548 is divisible by 274, follow these steps:
1) Double the last two digits of the number, 48 × 2 = 96.
2) Subtract the result from the remaining digits, excluding the last two digits, 5 – 96 = -91.
3) Since -91 is not a multiple of 274, the initial calculation seemed incorrect. Let's try another approach.
Double-checking, 548 ÷ 274 = 2, which is an integer. Thus, 548 is divisible by 274.
Check the divisibility rule of 274 for 822.
No, 822 is not divisible by 274.
To check the divisibility of 822 by 274:
1) Double the last two digits, 22 × 2 = 44.
2) Subtract the result from the remaining number, excluding the last two digits, 8 – 44 = -36.
3) Since -36 is not a multiple of 274, 822 is not divisible by 274.
Is 1644 divisible by 274?
Yes, 1644 is divisible by 274.
To verify if 1644 is divisible by 274:
1) Double the last two digits, 44 × 2 = 88.
2) Subtract the result from the remaining digits, excluding the last two digits, 16 – 88 = -72.
3) Since -72 is not a multiple of 274, let's try another approach.
Upon division, 1644 ÷ 274 = 6, which is an integer, confirming divisibility.
Can 1370 be divisible by 274 following the divisibility rule?
No, 1370 is not divisible by 274.
To check if 1370 is divisible by 274:
1) Double the last two digits, 70 × 2 = 140.
2) Subtract the result from the remaining digits, excluding the last two digits, 13 – 140 = -127.
3) Since -127 is not a multiple of 274, 1370 is not divisible by 274.
Check the divisibility rule of 274 for 5480.
Yes, 5480 is divisible by 274.
To check the divisibility of 5480 by 274:
1) Double the last two digits, 80 × 2 = 160.
2) Subtract the result from the remaining digits, excluding the last two digits, 54 – 160 = -106.
3) Since -106 is not a multiple of 274, let's verify by division.
5480 ÷ 274 = 20, which is an integer, confirming divisibility.
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.