Divisibility Rule of 351

The divisibility rule for 351 is a method by which we can find out if a number is divisible by 351 or not without using the division method. Check whether 1053 is divisible by 351 with the divisibility rule.

Step 1: The number 351 can be factored into 3, 9, and 13. Apply the divisibility rules for these factors sequentially to the number.

Step 2: Check if 1053 is divisible by 3. A number is divisible by 3 if the sum of its digits is divisible by 3. For 1053, 1+0+5+3=9, and 9 is divisible by 3.

Step 3: Check if 1053 is divisible by 9. A number is divisible by 9 if the sum of its digits is divisible by 9. Again, 1+0+5+3=9, and 9 is divisible by 9.

Step 4: Check if 1053 is divisible by 13. A number is divisible by 13 if you double the last digit and subtract it from the rest of the number, and the result is a multiple of 13. For 1053, double 3 to get 6, and subtract from 105, which gives 99. Since 99 is not divisible by 13, 1053 is not divisible by 351.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 351.

Know the multiples of the factors:

Memorize the multiples of 3, 9, and 13 to quickly check divisibility. If a number passes all three rules, it is divisible by 351.

Use negative numbers:

If the result from any step is negative, ignore the negative sign and consider it as positive for checking divisibility.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that can be easily checked for divisibility.

Use the division method to verify:

Students can use the division method to verify and crosscheck their results. This helps them verify and also learn.

• Divisibility rule: A set of rules used to find out whether a number is divisible by another number.

• Factors: Numbers that divide another number completely without leaving a remainder.

• Multiples: The results we get after multiplying a number by an integer.

• Subtraction: The process of finding the difference between two numbers by reducing one from another.

• Integer: Numbers that include all whole numbers, negative numbers, and zero.