Divisibility Rule of 894

The divisibility rule for 894 is a method by which we can find out if a number is divisible by 894 or not without using the division method.

Check whether 1788 is divisible by 894 with the divisibility rule.

Step 1: Check if the number is divisible by 2, 3, and 149 because 894 = 2 × 3 × 149. 

Step 2: For divisibility by 2, check if the last digit is even. In 1788, the last digit is 8, which is even, so it is divisible by 2.

Step 3: For divisibility by 3, sum the digits of the number. The sum of the digits in 1788 is 1+7+8+8 = 24, which is divisible by 3.

Step 4: For divisibility by 149, there is no simple rule, so use division or check known multiples of 149. Verify that 1788 divided by 149 equals 12, which is an integer.

Step 5: Since 1788 is divisible by 2, 3, and 149, it is divisible by 894.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 894.

Know the components of 894:

Memorize that 894 is the product of 2, 3, and 149 to quickly check divisibility by these factors.

Use division for complex factors:

If a number is large, use division to verify divisibility by complex factors like 149.

Repeat the process for large numbers:

For very large numbers, repeat the process by checking divisibility by 2, 3, and 149 until you reach smaller numbers.

Use the division method to verify:

Use the division method to crosscheck results and ensure accuracy.

• Divisibility rule: A set of rules used to determine if one number is divisible by another without direct division.

• Factors: Numbers that multiply together to form another number, such as 2, 3, and 149 are factors of 894.

• Multiples: Results obtained when a number is multiplied by an integer, for example, multiples of 894 include 894, 1788, 2682, etc.

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

• Division: A mathematical operation in which a number is divided into equal parts.