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.

• Know the factors of 462: Memorize the factors of 462 (2, 3, 7) to quickly check divisibility. A number must be divisible by these factors to be divisible by 462.

• Repeat the process for large numbers: Students should keep repeating the divisibility process until they confirm divisibility by all factors of 462.

• Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.

• Divisibility Rule: The set of rules used to find out whether a number is divisible by another number or not.

• Factors: Numbers that divide another number exactly without leaving a remainder. For 462, the factors are 2, 3, and 7.

• Multiples: The results we get after multiplying a number by an integer. For example, multiples of 462 are 462, 924, 1386, etc.

• Integers: Whole numbers that include positive numbers, negative numbers, and zero.

• Subtraction: A mathematical operation that represents the operation of removing objects from a collection.