Divisibility Rule of 635

The divisibility rule for 635 is a method by which we can find out if a number is divisible by 635 or not without using the division method. Check whether 1270 is divisible by 635 with the divisibility rule.

Step 1: Check if the number is divisible by both 5 and 127. Since 635 is 5 × 127, we need to verify divisibility by these factors.

Step 2: For divisibility by 5, the number should end with 0 or 5. Here, 1270 ends with 0, so it is divisible by 5.

Step 3: For divisibility by 127, you may need to use the division method or calculate multiples of 127. 1270 divided by 127 equals 10, which is a whole number.

Step 4: Since 1270 is divisible by both 5 and 127, it is divisible by 635.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 635.

1. Know the multiples of 635:

Memorize the multiples of 635 (635, 1270, 1905, 2540…etc.) to quickly check the divisibility. If a number is a multiple of 635, then it is divisible by 635.

2. Use prime factorization:

Break down 635 into its prime factors (5 and 127) to check divisibility using smaller numbers.

3. Repeat the process for large numbers:

For large numbers, first check divisibility by 5, then check divisibility by 127 separately.

4. Use the division method to verify:

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

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

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 635 are 635, 1270, 1905, etc.

• Prime factors: Prime numbers that multiply together to give the original number. For 635, the prime factors are 5 and 127.

• Whole number: A non-negative integer without fractions or decimals.

• Division method: A mathematical operation where a number is divided by another to check divisibility.