Divisibility Rule of 352

The divisibility rule for 352 is a method by which we can determine if a number is divisible by 352 without using the division method. Check whether 1056 is divisible by 352 with the divisibility rule.

Step 1: Break down the number 352 into its prime factors: 352 = 2^5 × 11. Check divisibility by each factor.

Step 2: Check if the number is divisible by 2^5. The last five digits should form a number divisible by 32. In 1056, the last five digits are 01056, which is divisible by 32.

Step 3: Check if the number is divisible by 11. The alternating sum of its digits should be divisible by 11. For 1056, (1 + 5) - (0 + 6) = 0, which is divisible by 11.

Step 4: Since 1056 is divisible by both 32 and 11, it is divisible by 352.

Learning divisibility rules can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 352.

Know the factors of 352:

Memorize the prime factorization of 352 (2^5 and 11) to quickly check divisibility.

Use the rules for smaller factors:

If a number is divisible by both 32 (2^5) and 11, it is divisible by 352.

Practice with examples:

Use different numbers to practice the divisibility rule until the concept is clear.

Use the division method to verify:

Students can use the division method as a way to verify and crosscheck their results. This will help them to confirm their understanding.

• Divisibility Rule: A set of guidelines to determine if one number can be divided by another without a remainder.

• Prime Factorization: Breaking down a number into its prime factors. For 352, it is 2^5 × 11.

• Multiples: Results of multiplying a number by an integer. For example, multiples of 352 include 352, 704, 1056, etc.

• Alternating Sum: The sum obtained by adding and subtracting digits in an alternating pattern to check divisibility by 11.

• Verification: The process of confirming a result by rechecking, often using the division method.