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 337.
The divisibility rule for 337 is a method by which we can find out if a number is divisible by 337 or not without using the division method. Let's explore whether 1011 is divisible by 337 using this rule.
Step 1: Multiply the last digit of the number by a specific constant. Here, in 1011, the last digit is 1. Multiply it by 112 (a constant derived for divisibility by 337).
1 × 112 = 112
Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 101 - 112 = -11.
Step 3: Since -11 is not a multiple of 337, 1011 is not divisible by 337. If the result from Step 2 were a multiple of 337, then the number would be divisible by 337.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 337.
The divisibility rule of 337 helps us to quickly check if a given number is divisible by 337, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes and how to avoid them.
Is 674 divisible by 337?
Yes, 674 is divisible by 337.
To check if 674 is divisible by 337:
1) Divide 674 by 337.
2) The division results in an integer, 2, without a remainder.
3) Therefore, 674 is divisible by 337.
Can 1011 be divisible by 337 according to the divisibility rule?
No, 1011 isn't divisible by 337.
To check if 1011 is divisible by 337:
1) Divide 1011 by 337.
2) The division results in a quotient of approximately 2.999, which is not an integer.
3) Therefore, 1011 is not divisible by 337.
Is -674 divisible by 337?
Yes, -674 is divisible by 337.
To check if -674 is divisible by 337, we follow these steps:
1) Ignore the negative sign and divide 674 by 337.
2) The division results in an integer, 2, without a remainder.
3) Therefore, -674 is divisible by 337.
Check the divisibility rule of 337 for 2022.
No, 2022 is not divisible by 337.
To check divisibility:
1) Divide 2022 by 337.
2) The division results in a quotient of approximately 5.998, which is not an integer.
3) Therefore, 2022 is not divisible by 337.
Is 1348 divisible by 337?
Yes, 1348 is divisible by 337.
To verify if 1348 is divisible by 337:
1) Divide 1348 by 337.
2) The division results in an integer, 4, without a remainder.
3) Therefore, 1348 is divisible by 337.
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.