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 133.
The divisibility rule for 133 is a method by which we can find out if a number is divisible by 133 or not without using the division method. Check whether 2660 is divisible by 133 with the divisibility rule.
Step 1: Break down 133 into its prime factors, which are 7 and 19. So, a number is divisible by 133 if it is divisible by both 7 and 19.
Step 2: Check if 2660 is divisible by 7 by using the divisibility rule of 7:
- Multiply the last digit by 2 (0 x 2 = 0).
- Subtract the result from the rest (266 - 0 = 266).
- Repeat the process: 6 x 2 = 12; 26 - 12 = 14.
- Since 14 is a multiple of 7, 266 is divisible by 7.
Step 3: Check if 2660 is divisible by 19 by using the divisibility rule of 19:
- Double the last digit (0 x 2 = 0).
- Add to the remaining leading part (266 + 0 = 266).
- Repeat the process: 6 x 2 = 12; 26 + 12 = 38.
- 38 divided by 19 is a whole number (2), thus 266 is divisible by 19.
Step 4: Since 266 is divisible by both 7 and 19, it is divisible by 133.
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 133.
The divisibility rule of 133 helps us to quickly check if the given number is divisible by 133, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to avoid them.
Is 798 divisible by 133?
Yes, 798 is divisible by 133.
To verify if 798 is divisible by 133, we can divide it directly without a complex rule.
798 ÷ 133 = 6, with no remainder, confirming that 798 is divisible by 133.
Check the divisibility rule of 133 for 1064.
No, 1064 is not divisible by 133.
We divide 1064 by 133 to check divisibility.
1064 ÷ 133 = 8 with a remainder of 0, but since division is not exact, 1064 is not divisible by 133.
Is -1330 divisible by 133?
Yes, -1330 is divisible by 133.
To check if -1330 is divisible by 133, we ignore the negative sign and divide the absolute value.
1330 ÷ 133 = 10, with no remainder, thus -1330 is divisible by 133.
Can 265 be divisible by 133?
No, 265 is not divisible by 133.
By dividing 265 by 133, we determine divisibility.
265 ÷ 133 = 1 with a remainder of 132, so 265 is not divisible by 133.
Check the divisibility rule of 133 for 1596.
Yes, 1596 is divisible by 133.
To determine if 1596 is divisible by 133, we perform the division:
1596 ÷ 133 = 12, with no remainder, indicating 1596 is divisible by 133.
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.