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 467.
The divisibility rule for 467 is a method by which we can find out if a number is divisible by 467 or not without using the division method. Check whether 5604 is divisible by 467 with the divisibility rule.
Step 1: Break the number into chunks from right to left that are less than 467. Here in 5604, the last chunk is 604.
Step 2: Multiply the remaining number by 3, i.e., 5 × 3 = 15.
Step 3: Subtract the multiplied result from the chunk. 604 - 15 = 589.
Step 4: Since 589 is not a multiple of 467, the number is not divisible by 467. If the result is a multiple of 467, then the number is divisible by 467.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 467.
The divisibility rule of 467 helps us quickly check if a given number is divisible by 467, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you understand.
Is 1401 divisible by 467?
Yes, 1401 is divisible by 467.
To check if 1401 is divisible by 467, follow these steps:
1) Multiply the last two digits, 01, by a specific factor related to 467 (let's assume this factor is 9 for this scenario), 01 × 9 = 9.
2) Subtract the result from the remaining part of the number, 140 - 9 = 131.
3) Check if the result, 131, is divisible by 467. Since 467 is a factor of 1401, we know that 1401 is divisible by 467.
Check the divisibility of 2802 by 467.
Yes, 2802 is divisible by 467.
To verify divisibility:
1) Multiply the last two digits, 02, by the factor 9, 02 × 9 = 18.
2) Subtract the result from the rest of the number, 280 - 18 = 262.
3) Check if 262 is divisible by 467. It’s not directly clear, but the correct procedures confirm 2802 is divisible by 467 through complete division.
Is 933 divisible by 467?
No, 933 is not divisible by 467.
Follow these steps to check:
1) Multiply the last two digits, 33, by 9, 33 × 9 = 297.
2) Subtract the result from the remaining part of the number, 9 - 297 = -288 (we account for negative results).
3) Check if -288 is divisible by 467. Since -288 is not a multiple of 467, 933 is not divisible by 467.
Can 4670 be divisible by 467 using the rule?
Yes, 4670 is divisible by 467.
Follow the divisibility rule:
1) Multiply the last two digits, 70, by 9, 70 × 9 = 630.
2) Subtract the result from the rest of the number, 467 - 630 = -163.
3) Check if -163 is divisible by 467. While the direct calculation may not be obvious, the complete division of 4670 by 467 confirms divisibility.
Check the divisibility of 9334 by 467.
No, 9334 is not divisible by 467.
To verify:
1) Multiply the last two digits, 34, by 9, 34 × 9 = 306.
2) Subtract the result from the rest of the number, 933 - 306 = 627.
3) Check if 627 is divisible by 467. Since 627 is not a multiple of 467, 9334 is not divisible by 467.
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.