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 19.
The divisibility rule for 19 is a method by which we can find out if a number is divisible by 19 or not without using the division method.
Check whether 266 is divisible by 19 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 266, 6 is the last digit, multiply it by 2. 6 × 2 = 12
Step 2: Add the result from Step 1 to the remaining values but do not include the last digit. i.e., 26 + 12 = 38.
Step 3: As it is shown that 38 is not a multiple of 19, the number is not divisible by 19. If the result from step 2 is a multiple of 19, then the number is divisible by 19.
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 19.
The divisibility rule of 19 helps us quickly check if the given number is divisible by 19, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Is 570 divisible by 19?
Yes, 570 is divisible by 19.
To check if 570 is divisible by 19, follow these steps:
1) Take the last digit of the number, which is 0.
2) Double it to get 0 × 2 = 0.
3) Subtract this result from the remaining digits, 57 - 0 = 57.
4) Check if 57 is divisible by 19. Yes, 57 is divisible by 19 (19 × 3 = 57).
Check the divisibility rule of 19 for 874.
Yes, 874 is divisible by 19.
To verify if 874 is divisible by 19:
1) Take the last digit, 4, and double it to get 4 × 2 = 8.
2) Subtract this from the remaining digits, 87 - 8 = 79.
3) Check if 79 is divisible by 19. Yes, 79 is divisible by 19 (19 × 4 = 76).
Is -209 divisible by 19?
Yes, -209 is divisible by 19.
To determine if -209 is divisible by 19, ignore the negative sign and proceed:
1) Take the last digit, 9, and double it to get 9 × 2 = 18.
2) Subtract this from the remaining digits, 20 - 18 = 2.
3) Check if 2 is divisible by 19. As 19 doesn't divide 2, re-evaluate by direct division: 209 ÷ 19 = 11.
Can 333 be divisible by 19 following the divisibility rule?
No, 333 isn't divisible by 19.
To check the divisibility of 333 by 19:
1) Take the last digit, 3, and double it to get 3 × 2 = 6.
2) Subtract this from the remaining digits, 33 - 6 = 27.
3) Check if 27 is divisible by 19. No, 27 isn't divisible by 19.
Check the divisibility rule of 19 for 1,197.
Yes, 1,197 is divisible by 19.
To check if 1,197 is divisible by 19:
1) Take the last digit, 7, and double it to get 7 × 2 = 14.
2) Subtract this from the remaining digits, 119 - 14 = 105.
3) Check if 105 is divisible by 19. Yes, 105 is divisible by 19 (19 × 5 = 95).
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.