Divisibility Rule of 857

The divisibility rule for 858 is a method by which we can determine if a number is divisible by 858 without using division directly. Check whether 1716 is divisible by 858 using the divisibility rule.

Step 1: Check divisibility by 2. The number must be even. 1716 is even, so it satisfies this step.

Step 2: Check divisibility by 3. Sum the digits of the number: 1 + 7 + 1 + 6 = 15. Since 15 is divisible by 3, 1716 satisfies this step.

Step 3: Check divisibility by 11. Subtract the sum of the digits in odd positions from the sum of the digits in even positions: (1 + 1) - (7 + 6) = 2 - 13 = -11. Since 11 divides -11, 1716 satisfies this step.

Since 1716 is divisible by 2, 3, and 11, it is divisible by 858.

Learning divisibility rules can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 858.

Know the factors of 858:

Memorize that 858 is divisible by 2, 3, and 11. This helps in quickly checking divisibility.

Use the digit sum for 3:

Always sum the digits of the number to check divisibility by 3.

Use alternating sums for 11:

For divisibility by 11, the alternating sum of digits should be a multiple of 11.

Repeat the process for large numbers:

Keep repeating the divisibility process for each factor until you reach a small number that is easy to check.

Use the division method to verify:

Use actual division to verify and cross-check results, reinforcing learning.
 

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

• Factors: Numbers that divide another number exactly, without leaving a remainder. For example, the factors of 858 are 2, 3, and 11.

• Multiple: The result of multiplying a number by an integer. For example, multiples of 858 include 858, 1716, etc.

• Alternating sum: A method used in divisibility rules, particularly for 11, involving subtracting and adding digits in alternating positions.

• Even number: A number divisible by 2, such as 2, 4, 6, etc