Divisibility Rule of 624

The divisibility rule for 624 is a method by which we can find out if a number is divisible by 624 or not without using the division method. Check whether 7488 is divisible by 624 with the divisibility rule.

Step 1: Check if the number is divisible by 8 and 3, as 624 is the product of these two factors (624 = 8 × 3 × 26).

Step 2: Check divisibility by 8: The last three digits of the number should form a number divisible by 8. Here, 488 is divisible by 8 (488 ÷ 8 = 61).

Step 3: Check divisibility by 3: The sum of the digits of the number should be divisible by 3. Here, 7 + 4 + 8 + 8 = 27, and 27 is divisible by 3.

Step 4: Since 7488 is divisible by both 8 and 3, it is divisible by 624.

Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 624.

1. Know the factors:

Understand the prime factorization of 624 (8, 3, and 26) for quick checks.

2. Memorize divisibility rules for 8 and 3:

These are essential for applying the rule to 624.

3. Repeat the process for large numbers:

For large numbers, verify divisibility by repeatedly checking smaller segments of the number.

4. Use the division method to verify:

Use division to verify and cross-check the results.
 

• Divisibility rule: A set of guidelines used to determine whether a number is divisible by another number without actual division.

• Prime factorization: Breaking down a number into its prime factors. For example, 624 = 8 × 3 × 26.

• Divisibility by 8: A number is divisible by 8 if its last three digits form a number divisible by 8.

• Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.

• Verification: The process of confirming accuracy, particularly by using division to ensure a number is divisible by another.