Divisibility Rule of 888

The divisibility rule for 888 is a method to determine if a number is divisible by 888 without using the division method.

Let's check whether 71064 is divisible by 888 using the divisibility rule.

Step 1: Check if the number is divisible by 8, 9, and 111, the prime factors of 888.

For 8: The last three digits of the number, 064, should be divisible by 8. Since 64 is divisible by 8, this condition is satisfied.

For 9: The sum of the digits of the number should be divisible by 9. The sum of the digits of 71064 is 7+1+0+6+4 = 18, which is divisible by 9.

For 111: The alternating sum of the digits should be divisible by 111. Calculate as follows: (7-1+0-6+4) = 4, which is not divisible by 111.
 

Since the last condition is not satisfied, 71064 is not divisible by 888.

Learning the divisibility rule helps kids master division. Let's learn a few tips and tricks for the divisibility rule of 888.

Know the prime factors:

Recognize that a number is divisible by 888 if it is divisible by its prime factors, 8, 9, and 111.

Practice checking divisibility by smaller numbers:

Ensure confidence in checking divisibility by 8, 9, and 111 to apply the rule efficiently.

Use the alternating sum method for 111:

For divisibility by 111, use the alternating sum of digits for quick verification.

Repeat the process for large numbers:

For large numbers, verify divisibility by each factor separately to confirm divisibility by 888.

Use the division method to verify:

Use the division method as a way to verify and cross-check results, helping to confirm the divisibility.

• Divisibility rule: A set of rules used to determine whether a number is divisible by another number.

• Prime factors: The prime numbers that multiply together to make a given number. For 888, the prime factors are 2, 3, and 37.

• Alternating sum: The sum of digits where the signs alternate between addition and subtraction.

• Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 888 are 888, 1776, etc.

• Integer: Whole numbers, including negative numbers and zero.