Divisibility Rule of 708

The divisibility rule for 708 is a method by which we can find out if a number is divisible by 708 or not without using the division method. Check whether 2124 is divisible by 708 with the divisibility rule.

Step 1: Check divisibility by 2, 3, and 59 because 708 = 2 × 3 × 59.
For 2: Ensure the last digit is even. Here, 2124 ends in 4, so it is divisible by 2.
For 3: Sum the digits (2 + 1 + 2 + 4 = 9), which is divisible by 3.
For 59: Use long division or a calculator to check divisibility by 59 directly.

Step 2: Since 2124 is divisible by 2, 3, and 59, 2124 is divisible by 708.
 

Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 708.

Memorize the factors of 708:

Knowing that 708 = 2 × 3 × 59 will help you quickly apply the divisibility tests for 2, 3, and 59.

Use digital sum for divisibility by 3:

Sum the digits of the number. If the sum is divisible by 3, the original number is as well.

Check the last digit for divisibility by 2:

Ensure the number ends with an even digit (0, 2, 4, 6, 8).

Use the division method to verify:

Use division to verify and cross-check your results. This will help confirm the divisibility of large numbers.

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

• Factors: Numbers that are multiplied together to get another number (e.g., 2, 3, and 59 are factors of 708).

• Multiples: The result of multiplying a number by an integer (e.g., multiples of 708 are 708, 1416, 2124, etc.).

• Even number: A number divisible by 2, ending in 0, 2, 4, 6, or 8.

• Digital sum: The sum of the digits of a number, used to check divisibility by 3.