Last updated on May 26th, 2025
The divisibility rule is a way to determine whether a number is divisible by another number without performing division. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 279.
The divisibility rule for 279 is a method by which we can determine if a number is divisible by 279 without performing division. Let's check whether 83769 is divisible by 279 using this rule.
Step 1: Divide the number into groups of three digits from the right. In 83769, we have 069 and 083.
Step 2: Sum these groups: 69 + 83 = 152.
Step 3: If the result is a multiple of 279, then the number is divisible by 279. Since 152 is not a multiple of 279, 83769 is not divisible by 279.
Learning the divisibility rule helps students master division. Here are a few tips and tricks for the divisibility rule of 279.
The divisibility rule of 279 helps us quickly check if a given number is divisible by 279, but common mistakes, like calculation errors, can lead to incorrect results. Here, we will understand some common mistakes that will help you avoid them.
Is 837 divisible by 279?
Yes, 837 is divisible by 279.
To check for divisibility by 279, follow these steps:
1) Take the last digit, multiply it by 9: 7 × 9 = 63.
2) Add this result to the rest of the number: 83 + 63 = 146.
3) Repeat the process for 146: 6 × 9 = 54, 14 + 54 = 68.
4) 68 is not divisible by 279. However, since the original sum resulted in a multiple of 279, 837 is divisible by 279.
Check the divisibility rule of 279 for 558.
Yes, 558 is divisible by 279.
Applying the divisibility rule for 279:
1) Multiply the last digit by 9: 8 × 9 = 72.
2) Add this result to the remaining digits: 55 + 72 = 127.
3) Since 127 is divisible by 279, 558 is also divisible by 279.
Is 2016 divisible by 279?
No, 2016 is not divisible by 279.
To determine divisibility by 279:
1) Multiply the last digit by 9: 6 × 9 = 54.
2) Add this result to the rest of the number: 201 + 54 = 255.
3) Since 255 is not divisible by 279, 2016 is not divisible by 279.
Can 1395 be divisible by 279?
Yes, 1395 is divisible by 279.
Checking divisibility by 279:
1) Multiply the last digit by 9: 5 × 9 = 45.
2) Add this result to the remaining digits: 139 + 45 = 184.
3) Since 184 is divisible by 279, 1395 is divisible by 279.
Check the divisibility rule of 279 for 5580.
Yes, 5580 is divisible by 279.
To verify divisibility by 279:
1) Multiply the last digit by 9: 0 × 9 = 0.
2) Add this result to the rest of the number: 558 + 0 = 558.
3) Further check 558: 8 × 9 = 72, 55 + 72 = 127.
4) Since 127 is not divisible by 279, the original number 5580 is divisible by 279 because it ultimately resulted in 558, which is a multiple of 279.
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.