Divisibility Rule of 385

The divisibility rule for 385 is a method by which we can find out if a number is divisible by 385 or not without using the division method. To check whether a number is divisible by 385, it must be divisible by 5, 7, and 11, as 385 is the product of these three numbers (385 = 5 × 7 × 11).

Check whether 770 is divisible by 385 using the divisibility rule.

Step 1: Check divisibility by 5. A number is divisible by 5 if it ends in 0 or 5. Here, 770 ends in 0, so it is divisible by 5.

Step 2: Check divisibility by 7 using its rule. Double the last digit and subtract it from the rest of the number. For 770, double 0 to get 0, and subtract from 77 to get 77. Since 77 is divisible by 7, 770 is divisible by 7.

Step 3: Check divisibility by 11 using its rule. Subtract the last digit from the rest of the number. For 770, subtract 0 from 77 to get 77. Since 77 is divisible by 11, 770 is divisible by 11.

Since 770 is divisible by 5, 7, and 11, it is divisible by 385.

Learn divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 385.

• Know the multiples of 385: Memorize the multiples of 385 (385, 770, 1155, etc.) to quickly check divisibility.
   
• Use the individual rules: Ensure each separate rule (for 5, 7, and 11) is applied correctly to determine if a number is divisible by 385.
   
• Repeat the process for large numbers: For large numbers, repeat individual divisibility checks until reaching a smaller number to easily verify divisibility by 385.
   
• Use the division method to verify: Use the division method as a way to verify and cross-check results. This helps to verify and also learn.

• Divisibility rule: A set of rules used to determine if a number is divisible by another number without performing division.
   
• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 385 are 385, 770, 1155, etc.
   
• Integers: Numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: A mathematical operation where one number is reduced by another to find the difference.
   
• Factors: Numbers that evenly divide another number. For example, the factors of 385 are 1, 5, 7, 11, 35, 55, 77, and 385.