Find the factors of given number #factors #education #cprogramming

To find the factors of a given number, follow these steps:

Definition of a Factor: A factor of a number is any number that divides the given number exactly (without leaving a remainder). For example, the factors of 12 are the numbers that divide 12 exactly, such as 1, 2, 3, 4, 6, and 12.

Method to Find Factors:

Start from 1 and go up to the square root of the given number. This is because factors come in pairs. For example, if you divide the number by 2, then 12 / 2 = 6, so both 2 and 6 are factors of 12.
Check each number to see if it divides the given number exactly (no remainder). If it does, both the divisor and the quotient are factors.
Example: Find the factors of 36
Start by checking divisibility from 1 up to √36, which is 6.
1 divides 36 exactly (36 ÷ 1 = 36), so 1 and 36 are factors.
2 divides 36 exactly (36 ÷ 2 = 18), so 2 and 18 are factors.
3 divides 36 exactly (36 ÷ 3 = 12), so 3 and 12 are factors.
4 divides 36 exactly (36 ÷ 4 = 9), so 4 and 9 are factors.
6 divides 36 exactly (36 ÷ 6 = 6), so 6 is a factor (counted once).
So, the factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.