Last updated on May 26th, 2025
The divisibility rule is a way to determine whether a number is divisible by another number without performing the actual 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 746.
The divisibility rule for 746 is a method by which we can determine if a number is divisible by 746 without using the division method. Let's check whether 1492 is divisible by 746 using the divisibility rule.
Step 1: Multiply the last digit of the number by 6. In 1492, the last digit is 2, so multiply it by 6. 2 × 6 = 12.
Step 2: Add the result from Step 1 to the remaining digits, excluding the last digit. That is, 149 + 12 = 161.
Step 3: If the result from step 2 is a multiple of 746, then the number is divisible by 746. Since 161 is not a multiple of 746, 1492 is not divisible by 746.
Learning the divisibility rule will help kids master division. Let’s explore a few tips and tricks for the divisibility rule of 746.
Memorize the multiples of 746 (746, 1492, 2238, etc.) to quickly check divisibility. If the result from addition is a multiple of 746, then the number is divisible by 746.
If the result obtained after addition is negative, treat it as positive for checking divisibility.
Continue the divisibility process until you reach a smaller number that is known to be divisible by 746.
Use division to verify and cross-check results. This helps confirm the calculation and enhances learning.
The divisibility rule for 746 helps us quickly check if a given number is divisible by 746, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Is 1492 divisible by 746?
Yes, 1492 is divisible by 746.
To check if 1492 is divisible by 746, follow these steps:
1) Divide 1492 by 746, which results in 2 exactly.
2) Since the division yields an integer with no remainder, 1492 is divisible by 746.
Check the divisibility rule of 746 for 2984.
Yes, 2984 is divisible by 746.
To verify divisibility by 746:
1) Divide 2984 by 746, which results in 4 exactly.
2) Since the division is exact with no remainder, 2984 is divisible by 746.
Is -2238 divisible by 746?
Yes, -2238 is divisible by 746.
For a negative number like -2238, ignore the negative sign and check divisibility:
1) Divide 2238 by 746, which results in 3 exactly.
2) Since the division is exact with no remainder, -2238 is divisible by 746 when considering only the magnitude.
Can 1500 be divisible by 746 following the divisibility rule?
No, 1500 isn't divisible by 746.
To check if 1500 is divisible by 746:
1) Divide 1500 by 746, which results in approximately 2.0107.
2) Since the result is not an integer, 1500 is not divisible by 746.
Check the divisibility rule of 746 for 4476.
Yes, 4476 is divisible by 746.
To determine if 4476 is divisible by 746:
1) Divide 4476 by 746, which results in 6 exactly.
2) Since the result is an integer with no remainder, 4476 is divisible by 746.
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.