Divisibility is a mathematical concept that refers to the ability of one number to be evenly divided by another number without leaving a remainder. It is an important concept in number theory, algebra, and other areas of mathematics.

Divisibility rules are helpful in determining whether a number is divisible by another number without having to perform division. Here are some of the most common divisibility rules:

1. Divisibility by 2: A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).
2. Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
3. Divisibility by 4: A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
4. Divisibility by 5: A number is divisible by 5 if its last digit is 0 or 5.
5. Divisibility by 6: A number is divisible by 6 if it is divisible by both 2 and 3.
6. Divisibility by 9: A number is divisible by 9 if the sum of its digits is divisible by 9.
7. Divisibility by 10: A number is divisible by 10 if its last digit is 0.

There are also divisibility rules for larger numbers, such as 7, 11, and 13, but they are more complicated and require more steps.

Divisibility is useful in many areas of mathematics, such as finding factors and multiples of numbers, simplifying fractions, and solving equations. It is also important in computer science and cryptography, where large numbers are used for encryption and decryption.

Divisibility is a fundamental concept in mathematics that is used in many different areas. Understanding the rules for divisibility can make it easier to perform calculations and solve problems involving numbers.

Divisibility Formulas English and Hindi PDF Download Reviewed by SSC NOTES on March 02, 2023 Rating: 5