Divisibility Rule of 357

The divisibility rule for 357 is a method by which we can find out if a number is divisible by 357 without using the division method. Check whether 1071 is divisible by 357 with the divisibility rule.

Step 1: First, check divisibility by 3. Add the digits of the number, here in 1071, 1+0+7+1=9. Since 9 is divisible by 3, 1071 satisfies this condition.

Step 2: Next, check divisibility by 5. The last digit of 1071 is 1, which is not 0 or 5. Therefore, 1071 is not divisible by 5, and thus not by 357.

Step 3: Since 1071 is not divisible by 5, it cannot be divisible by 357.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 357.

Know the multiples of 357:

Memorize some multiples of 357 (357, 714, 1071, etc.) to quickly check divisibility. If the number matches a known multiple of 357, it is divisible by 357.

Check divisibility by individual factors:
 

Ensure the number is divisible by each factor of 357 (3, 5, and 7) to confirm divisibility.

Repeat the process for large numbers:

Students should keep repeating the divisibility process for each factor until they reach a conclusion. For example, if a number is not divisible by one of the factors, it is not divisible by 357.

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.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 357 are 357, 714, 1071, etc.

• Factors: Factors are numbers that divide another number completely without leaving a remainder. For 357, its factors are 3, 5, and 7.

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

• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another, used in some divisibility checks.