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 462.
The divisibility rule for 462 is a method by which we can find out if a number is divisible by 462 or not without using the division method. Check whether 924 is divisible by 462 with the divisibility rule.
Step 1: Ensure the number is divisible by 2, 3, and 7 (since 462 = 2 × 3 × 7).
For divisibility by 2, the last digit should be even. In 924, the last digit is 4, which is even.
For divisibility by 3, the sum of the digits should be divisible by 3. The sum of the digits in 924 is 9 + 2 + 4 = 15, and 15 is divisible by 3.
For divisibility by 7, use the rule: double the last digit and subtract it from the rest of the number. 4 × 2 = 8, and 92 - 8 = 84, which is divisible by 7.
Step 2: Since 924 satisfies the divisibility rules for 2, 3, and 7, it is divisible by 462.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 462.
The divisibility rule of 462 helps us to quickly check if the given number is divisible by 462, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you.
Is 1386 divisible by 462?
Yes, 1386 is divisible by 462.
To determine if 1386 is divisible by 462, we can perform the division directly since 462 is not a commonly used divisibility rule number.
1) Divide 1386 by 462.
2) 1386 ÷ 462 = 3, which is an integer.
3) Since the result is an integer, 1386 is divisible by 462.
Check if 924 is divisible by 462.
Yes, 924 is divisible by 462.
To check if 924 is divisible by 462, we conduct a simple division:
1) Divide 924 by 462.
2) 924 ÷ 462 = 2, which is an integer.
3) Since the division yields an integer, 924 is divisible by 462.
Is 1848 divisible by 462?
Yes, 1848 is divisible by 462.
To determine if 1848 is divisible by 462, we use division:
1) Divide 1848 by 462.
2) 1848 ÷ 462 = 4, which is an integer.
3) As the result is an integer, 1848 is divisible by 462.
Can 230 be divisible by 462?
No, 230 is not divisible by 462.
To check if 230 is divisible by 462, follow these steps:
1) Divide 230 by 462.
2) 230 ÷ 462 ≈ 0.497, which is not an integer.
3) Since the result is not an integer, 230 is not divisible by 462.
Check the divisibility rule for 462 on 4620.
Yes, 4620 is divisible by 462.
To verify if 4620 is divisible by 462, we perform the division:
1) Divide 4620 by 462.
2) 4620 ÷ 462 = 10, which is an integer.
3) Since the division result is an integer, 4620 is divisible by 462.
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.