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Last updated on February 18th, 2025
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 896.
The divisibility rule for 896 is a method by which we can determine if a number is divisible by 896 or not without using the division method.
Check whether 3584 is divisible by 896 with the divisibility rule.
Step 1: Break down 896 into its prime factors: 2, 2, 2, 2, 2, and 7.
Therefore, a number must be divisible by both 128 (27) and 7.
Step 2: Check divisibility by 128. For 3584, divide 3584 by 128. 3584 ÷ 128 = 28.
Step 3: Since 28 is a whole number, check divisibility by 7 (since 128 is a power of 2, we only need to check divisibility by 7 after dividing). 28 ÷ 7 = 4.
Step 4: Since 4 is a whole number, 3584 is divisible by 896.
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 896.
Memorize the multiples of 896 (896, 1792, 2688, etc.) to quickly check divisibility. If a number is a multiple of 896, it is divisible by 896.
Break down 896 into its prime factors to check divisibility with smaller factors first.
Students should keep repeating the divisibility process until they reach a small number that is clearly divisible by 896. For example, check if 7168 is divisible by 896 using the divisibility test. 7168 ÷ 128 = 56. Then, 56 ÷ 7 = 8. Since both results are whole numbers, 7168 is divisible by 896.
Students can use the division method as a way to verify and crosscheck their results. This will help them verify and learn.
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Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.