Divisibility Rule of 631

The divisibility rule for 631 is a method to determine if a number is divisible by 631 without using the division method. Let's check whether 1262 is divisible by 631 using this rule.

Step 1: Divide the number into two parts: the leftmost digits and the last three digits. For 1262, the leftmost part is 1 and the last three digits are 262.

Step 2: Multiply the leftmost part by 2. 1 × 2 = 2.

Step 3: Add the result from Step 2 to the last three digits. 262 + 2 = 264.

Step 4: If the result is a multiple of 631, then the original number is divisible by 631. In this example, 264 is not a multiple of 631, so 1262 is not divisible by 631.

Learning the divisibility rule will help master division skills. Here are a few tips and tricks for the divisibility rule of 631:

1. Know the multiples of 631:

Memorize the multiples of 631 (631, 1262, 1893, etc.) to quickly check divisibility. If the result from step 3 is a multiple of 631, the number is divisible by 631.

2. Use positive results:

If the result from step 3 is negative, consider it as positive for checking divisibility.

3. Repeat the process for large numbers:

Continue applying the divisibility process until reaching a small number that can be easily checked against 631. For example, to check if 3155 is divisible by 631, divide into 3 and 155. Multiply 3 by 2 to get 6, and add to 155 to get 161. Since 161 is not a multiple of 631, 3155 is not divisible by 631.

4. Use the division method to verify:

Use the division method to verify and cross-check results, helping to confirm understanding.

• Divisibility rule: A set of rules to determine if one number is divisible by another without performing division.

• Multiples: Results obtained from multiplying a number by an integer. For example, multiples of 631 are 631, 1262, 1893, etc.

• Integers: Numbers that include all whole numbers, negative numbers, and zero.

• Addition: The mathematical operation of combining two numbers to get their sum.

• Calculation: The process of computing or determining something mathematically.