Divisibility Rule of 448

The divisibility rule for 448 is a method by which we can find out if a number is divisible by 448 or not without using the division method. Check whether 896 is divisible by 448 with the divisibility rule.

Step 1: Since 448 is 2 × 224, check if the number is divisible by 2. 896 is even, so it is divisible by 2.

Step 2: Now, check if the result from Step 1, which is 448, is divisible by 224, which is half of 448. Since 448 is exactly 2 times 224, it is divisible by 224.

Step 3: Therefore, since 896 is divisible by both 2 and 224, it is divisible by 448.

Understanding divisibility rules can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 448.

• Know the prime factors: Memorize that 448 is 2⁶ × 7. Check divisibility by 64 (2⁶) and 7 separately. If a number is divisible by both, it is divisible by 448.
   
• Use smaller factors: Check divisibility by 64 and then by 7. If both conditions are met, the number is divisible by 448.
   
• Repeat the process for large numbers: For large numbers, break them down into smaller parts to check divisibility by 448. For example, check if 3584 is divisible by 448. Since 3584 ÷ 448 = 8, it is divisible by 448.
   
• Use the division method to verify: Use division to verify and crosscheck your results. This helps in confirming the divisibility.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number without division.
   
• Prime factors: The prime numbers that multiply together to get a specific number. For 448, they are 2 and 7.
   
• Even number: A number that is divisible by 2.
   
• Integer: A whole number that can be positive, negative, or zero.
   
• Verification: The process of confirming or checking the correctness of a calculation or process.