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 367.
The divisibility rule for 367 is a method by which we can find out if a number is divisible by 367 or not without using the division method. Check whether 110,101 is divisible by 367 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 110,101, 1 is the last digit, multiply it by 2. 1 × 2 = 2.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 11,010 – 2 = 11,008.
Step 3: Divide the result from Step 2 by 367. If the result is an integer, then the number is divisible by 367.
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 367.
The divisibility rule of 367 helps us to quickly check if the given number is divisible by 367, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to avoid them.
Is 1101 divisible by 367?
Yes, 1101 is divisible by 367.
To check if 1101 is divisible by 367, follow these steps:
1) Multiply the last two digits of the number by 2, 01 × 2 = 2.
2) Subtract the result from the remaining digits excluding the last two digits, 11 – 2 = 9.
3) Check if the result, 9, is divisible by 367. In this case, since 9 is not a multiple of 367, the initial division check confirms 1101 is divisible because the subtraction balances out to a zero sum.
Check the divisibility rule of 367 for 734.
No, 734 is not divisible by 367.
For checking the divisibility rule of 367 for 734:
1) Multiply the last two digits by 2, 34 × 2 = 68.
2) Subtract the result from the remaining digits, excluding the last two digits, 7 – 68 = -61.
3) Check if -61 is a multiple of 367. It is not, so 734 is not divisible by 367.
Is 1835 divisible by 367?
No, 1835 is not divisible by 367.
To check if 1835 is divisible by 367:
1) Multiply the last two digits by 2, 35 × 2 = 70.
2) Subtract the result from the remaining digits, excluding the last two digits, 18 – 70 = -52.
3) Since -52 is not a multiple of 367, 1835 is not divisible by 367.
Can 367 be divisible by 367 following the divisibility rule?
Yes, 367 is divisible by 367.
To check if 367 is divisible by 367:
1) Multiply the last two digits by 2, 67 × 2 = 134.
2) Subtract the result from the remaining digits, excluding the last two digits, 3 – 134 = -131.
3) Since we are checking the number itself, the subtraction confirms the division by 367.
Check the divisibility rule of 367 for 2202.
Yes, 2202 is divisible by 367.
To check the divisibility rule of 367 for 2202:
1) Multiply the last two digits by 2, 02 × 2 = 4.
2) Subtract the result from the remaining digits, excluding the last two digits, 22 – 4 = 18.
3) Check if 18 is a multiple of 367. By this rule, 2202 is divisible by 367 as this balance checks out with divisibility logic.