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 369.
The divisibility rule for 369 is a method by which we can determine if a number is divisible by 369 without using division. Check whether 1107 is divisible by 369 with the divisibility rule.
Step 1: Check if the number is divisible by both 3 and 9. To be divisible by 3, the sum of the digits must be a multiple of 3. To be divisible by 9, the sum of the digits must also be a multiple of 9.
Step 2: For 1107, add the digits: 1 + 1 + 0 + 7 = 9. Since 9 is divisible by both 3 and 9, proceed to the next step.
Step 3: Now check if the number is divisible by 41. Divide 1107 by 41. If the quotient is a whole number, then 1107 is divisible by 369. In this case, 1107 ÷ 41 = 27, which is a whole number.
Therefore, 1107 is divisible by 369.
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 369.
The divisibility rule of 369 helps us quickly check if a number is divisible by 369, but common mistakes like calculation errors can lead to incorrect conclusions. Here, we will understand some common mistakes and their solutions.
Is the number of pages in a book, which is 738, divisible by 369?
Yes, 738 is divisible by 369.
To check if 738 is divisible by 369, we use the divisibility rule.
1) Sum the digits of the number: 7 + 3 + 8 = 18.
2) Since 18 is a multiple of 9, we check further by dividing the number by 369.
3) 738 ÷ 369 = 2, which is a whole number. Therefore, 738 is divisible by 369.
A factory produces 1107 widgets in one day. Is this number divisible by 369?
Yes, 1107 is divisible by 369.
To verify divisibility of 1107 by 369, follow these steps:
1) Sum the digits: 1 + 1 + 0 + 7 = 9.
2) Since 9 is a multiple of 9, check further by dividing by 369.
3) 1107 ÷ 369 = 3, which is a whole number. Thus, 1107 is divisible by 369.
A conference hall has a seating capacity of 1845 seats. Can this number be evenly divided by 369?
No, 1845 is not divisible by 369.
To determine if 1845 is divisible by 369, the procedure is:
1) Sum the digits: 1 + 8 + 4 + 5 = 18.
2) Since 18 is a multiple of 9, attempt division by 369.
3) 1845 ÷ 369 = 5.0008, which is not a whole number. Therefore, 1845 isn't divisible by 369.
An artist has 1476 paintbrushes. Is this number divisible by 369?
No, 1476 is not divisible by 369.
To check divisibility of 1476 by 369, follow the steps:
1) Sum the digits: 1 + 4 + 7 + 6 = 18.
2) Since 18 is a multiple of 9, try dividing by 369.
3) 1476 ÷ 369 = 4, but rechecking shows a decimal, indicating it's not perfectly divisible. So, 1476 is not divisible by 369.
A bakery made 3690 cookies today. Is this total divisible by 369?
Yes, 3690 is divisible by 369.
To determine divisibility by 369, use the steps:
1) Sum the digits: 3 + 6 + 9 + 0 = 18.
2) Since 18 is a multiple of 9, divide by 369 to check.
3) 3690 ÷ 369 = 10, which is a whole number. Therefore, 3690 is divisible by 369.
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.