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 55.
The divisibility rule for 55 is a method by which we can find out if a number is divisible by 55 or not without using the division method. Check whether 220 is divisible by 55 with the divisibility rule.
Step 1: Check if the number is divisible by both 5 and 11. A number is divisible by 5 if its last digit is 0 or 5. Since 220 ends with a 0, it is divisible by 5.
Step 2: Check if the number is divisible by 11. A number is divisible by 11 if the difference between the sum of its digits in odd positions and the sum of its digits in even positions is a multiple of 11. For 220, the sums are (2+0) and (2). Their difference is 2, which is not a multiple of 11.
Step 3: Since 220 is divisible by 5 but not by 11, it is not divisible by 55.
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 55.
The divisibility rule of 55 helps us to quickly check if the given number is divisible by 55, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to understand.
Is 550 divisible by 55?
Yes, 550 is divisible by 55.
To check if 550 is divisible by 55, we can use the divisibility rules for 5 and 11. Since 550 ends in a 0, it is divisible by 5. For 11, the alternating sum of the digits (5 - 5 + 0) equals 0, which is divisible by 11. Therefore, 550 is divisible by 55.
Check the divisibility rule of 55 for 715.
No, 715 is not divisible by 55.
To check if 715 is divisible by 55, we need to check divisibility by both 5 and 11. The number ends in 5, so it is divisible by 5. However, for 11, the alternating sum of the digits is 7 - 1 + 5 = 11, which is divisible by 11. Thus, it satisfies both conditions, so 715 is actually divisible by 55. (Note: Correcting the initial answer).
Is 1210 divisible by 55?
Yes, 1210 is divisible by 55.
To determine if 1210 is divisible by 55, check divisibility by 5 and 11. The number ends in 0, so it is divisible by 5. For 11, the alternating sum of the digits is 1 - 2 + 1 - 0 = 0, which is divisible by 11. Therefore, 1210 is divisible by 55.
Can 330 be divisible by 55 following the divisibility rule?
Yes, 330 is divisible by 55.
To verify if 330 is divisible by 55, check divisibility by 5 and 11. The number ends in 0, so it is divisible by 5. For 11, the alternating sum of digits (3 - 3 + 0) equals 0, which is divisible by 11. Thus, 330 is divisible by 55.
Check the divisibility rule of 55 for 2860.
No, 2860 is not divisible by 55.
To check if 2860 is divisible by 55, consider divisibility by 5 and 11. The number ends in 0, so it is divisible by 5. For 11, the alternating sum is 2 - 8 + 6 - 0 = 0, which is divisible by 11. So, 2860 is actually divisible by 55. (Note: Correcting the initial answer).
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.