Divisibility Rule of 904

The divisibility rule for 904 is a method by which we can find out if a number is divisible by 904 or not without using the division method. Check whether 3616 is divisible by 904 with the divisibility rule.

Step 1: Break down 904 into its prime factors: 904 = 2 × 2 × 2 × 113.

Step 2: Check if the number is divisible by each of these factors: 
- Check divisibility by 8 (2 × 2 × 2 = 8): The last three digits of 3616 are 616. If 616 is divisible by 8, proceed. 616 ÷ 8 = 77, which is an integer.
- Check divisibility by 113: Divide 3616 by 113. If the result is an integer, the number is divisible by 113. 3616 ÷ 113 = 32, which is an integer.

Step 3: Since 3616 is divisible by both 8 and 113, it is divisible by 904.

Understanding the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 904.

Know the prime factors of 904:

Memorize the prime factors (2, 113) to quickly check divisibility. If a number is divisible by both 8 and 113, it is divisible by 904.

Use smaller factors first:

Start with smaller factors like 8 to quickly determine divisibility before checking divisibility by 113.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach divisibility conclusions for both 8 and 113. For example, check if 1808 is divisible by 904:
- Check divisibility by 8: The last three digits are 808. 808 ÷ 8 = 101, which is an integer.
- Check divisibility by 113: 1808 ÷ 113 = 16, which is an integer.
Since both conditions are met, 1808 is divisible by 904.

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.

• Prime factors: The prime numbers that m
• ultiply together to form a number. For example, the prime factors of 904 are 2 and 113.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 904 are 904, 1808, 2712, etc.

• Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.

• Division: Division is a process of finding out how many times one number is contained within another.