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 54.
The divisibility rule for 54 is a method by which we can find out if a number is divisible by 54 or not without using the division method. Check whether 540 is divisible by 54 with the divisibility rule.
Step 1: Check if the number is divisible by both 2 and 27 (since 54 = 2 × 27).
For divisibility by 2, the number must be even. Since 540 is even, it is divisible by 2.
Step 2: For divisibility by 27, sum the digits of the number repeatedly until you get a single digit. If the result is 9, the number is divisible by 27.
Summing the digits of 540: 5 + 4 + 0 = 9.
Since 9 is a multiple of 9, 540 is divisible by 27.
Step 3: Since 540 is divisible by both 2 and 27, it is divisible by 54.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 54.
The divisibility rule of 54 helps us quickly check if the given number is divisible by 54, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Is 162 divisible by 54?
Yes, 162 is divisible by 54.
To check the divisibility of 162 by 54, we can break it down:
1) Check if 162 is divisible by 2 and 27 (since 54 = 2 x 27).
2) 162 is even, so it's divisible by 2.
3) For divisibility by 27, add the digits of 162: 1 + 6 + 2 = 9, which is not a multiple of 27. Therefore, we need to check directly by division: 162 ÷ 54 = 3, which is an integer. Thus, 162 is divisible by 54.
Can 810 be divided by 54 evenly?
Yes, 810 is divisible by 54.
Let's verify using the divisibility rule:
1) Check divisibility by 2 and 27.
2) 810 is even, so it is divisible by 2.
3) For 27, sum the digits: 8 + 1 + 0 = 9, which isn't a multiple of 27. Check by division: 810 ÷ 54 = 15, which confirms it is divisible by 54 without a remainder.
Is 324 divisible by 54?
Yes, 324 is divisible by 54.
To check divisibility:
1) Verify divisibility by 2 and 27.
2) 324 is even, so it is divisible by 2.
3) Sum the digits: 3 + 2 + 4 = 9, which isn't multiple of 27. Direct division shows 324 ÷ 54 = 6. Therefore, 324 is divisible by 54.
Check if 540 is divisible by 54.
Yes, 540 is divisible by 54.
Check using the divisibility rule:
1) Verify divisibility by 2 and 27.
2) 540 is even, so it is divisible by 2.
3) Sum of digits: 5 + 4 + 0 = 9, which is not a multiple of 27, so check by division: 540 ÷ 54 = 10. Therefore, 540 is divisible by 54.
Determine if 1080 is divisible by 54.
Yes, 1080 is divisible by 54.
Use the divisibility rule:
1) Check for 2 and 27.
2) 1080 is even, so divisible by 2.
3) Sum of digits: 1 + 0 + 8 + 0 = 9, not a multiple of 27. Verify by division: 1080 ÷ 54 = 20. Therefore, 1080 is divisible by 54.
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.