Divisibility Rule of 630

The divisibility rule for 630 is a method by which we can find out if a number is divisible by 630 or not without using the division method. Check whether 12,600 is divisible by 630 with the divisibility rule.

Step 1: Ensure the number is divisible by 2, 3, 5, and 7, as 630 is the product of these primes.

- Check divisibility by 2: The last digit of 12,600 is 0, which is even.

- Check divisibility by 3: Sum the digits (1+2+6+0+0 = 9), and 9 is divisible by 3.

- Check divisibility by 5: The last digit is 0, which is divisible by 5.

- Check divisibility by 7: Use the rule for 7: double the last digit (0×2=0), subtract from the rest (1260-0=126), and see that 126 is divisible by 7 (as 126 divided by 7 equals 18 without a remainder).

Step 2: Since 12600 is divisible by 2, 3, 5, and 7, it is also divisible by 630.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 630.

1. Break Down the Rule:

   - Remember that 630 = 2 × 3 × 5 × 7. So, check divisibility by each of these numbers.

2. Know the Prime Factors:

   - Memorize the prime factors (2, 3, 5, and 7) to quickly apply the divisibility rules for each.

3. Use the Division Method to Verify:

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

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number without performing division.

• Prime factors: The prime numbers that multiply together to give the original number. For 630, these are 2, 3, 5, and 7.

• Multiples: Numbers that can be divided by a specific number without leaving a remainder. For example, multiples of 630 include 630, 1260, 1890, etc.

• Integer: A whole number that can be positive, negative, or zero.

• Subtraction: A mathematical operation that represents the operation of removing objects from a collection. Used in checking divisibility by 7.