Divisibility Rule of 795

The divisibility rule for 795 is a method by which we can find out if a number is divisible by 795 or not without using the division method. Check whether 1590 is divisible by 795 with the divisibility rule.  

Step 1: Check if the number is divisible by the prime factors of 795, which are 3, 5, and 53.

Step 2: For divisibility by 3, sum the digits of the number. If the sum is a multiple of 3, the original number is divisible by 3. For 1590, 1+5+9+0=15, which is divisible by 3.

Step 3: For divisibility by 5, the number should end in 0 or 5. Since 1590 ends in 0, it is divisible by 5.

Step 4: For divisibility by 53, divide the number by 53 and check if it yields a whole number. (1590 ÷ 53 = 30), which is a whole number.

Step 5: Since 1590 is divisible by 3, 5, and 53, it is divisible by 795.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 795.

 Know the prime factors:

Memorize the prime factors of 795 (3, 5, and 53) to quickly check divisibility. If a number is divisible by all these factors, it is divisible by 795.

 Use the sum of digits for the factor of 3:

Add the digits of the number. If the sum is a multiple of 3, then the number is divisible by 3.

Check the last digit for the factor of 5:

Ensure the last digit is 0 or 5 for divisibility by 5.

Use division for larger factors:

For larger factors such as 53, directly divide the number by 53 to see if the result is a whole number.

Verify with the division method:

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

• Divisibility rule: Rules used to determine if one number is divisible by another without direct division.

• Prime factors: The prime numbers that multiply together to give a composite number. For 795, these are 3, 5, and 53.

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 795 are 795, 1590, etc.

• Whole number: A non-negative number without fractions or decimals. Examples include 0, 1, 2, 3, etc.

• Division: The process of determining how many times one number is contained within another.