Divisibility Rule of 842

The divisibility rule for 842 is a method by which we can determine if a number is divisible by 842 without performing the division. Check whether 1684 is divisible by 842 using the divisibility rule.

Step 1: Check if the number is divisible by both 2 and 421, because 842 = 2 × 421. If a number is divisible by 842, it must be divisible by 2 (even number) and 421.

Step 2: Check if 1684 is divisible by 2. Since 1684 is even, it is divisible by 2.

Step 3: Divide 1684 by 2 to get 842. Now check if 842 is divisible by 421.

Step 4: Since 842 divided by 421 equals 2 exactly, 1684 is divisible by 842.

Learn the divisibility rule to help master division. Let’s explore a few tips and tricks for the divisibility rule of 842.

1. Know the prime factorization:

Understand that 842 = 2 × 421. Check divisibility by these factors for easier calculations.

2. Use simpler methods:

If a number is even, you can quickly check divisibility by 2. Then, see if the resulting quotient is divisible by 421.

3. Repeat the process for larger numbers:

For large numbers, continue breaking them down into smaller factors for easier determination. For example, check if 3368 is divisible by 842. Since 3368 is even, divide by 2 to get 1684. Then check if 1684 is divisible by 421, as shown in the example above.

4. Use the division method to verify:

To confirm your results, use the division method to check if the remainder is 0 when dividing by 842.
 

• Divisibility rule: A set of guidelines to determine if a number can be divided by another without a remainder.

• Prime factorization: Breaking down a number into its prime factors, such as 842 = 2 × 421.

• Even number: A number divisible by 2, with no remainder.

• Remainder: The amount left after division when a number is not evenly divisible.

• Integer: A whole number, including negative numbers, zero, and positive numbers.