## Factors

### In mathematics, factors are numbers that divide evenly into another number without leaving a remainder

In mathematics, factors are numbers that divide evenly into another number without leaving a remainder. They are the whole numbers that can be multiplied together to get the given number.

For example, let’s consider the number 12. The factors of 12 are 1, 2, 3, 4, 6, and 12. These numbers can be multiplied in different combinations to give the original number 12.

1 × 12 = 12

2 × 6 = 12

3 × 4 = 12

So, in this case, 1, 2, 3, 4, 6, and 12 are all factors of 12.

Factors play an essential role in various mathematical concepts and calculations. They are used in determining the prime factorization of a number, finding the greatest common factor (GCF) or highest common divisor (HCF) of two or more numbers, and solving equations involving factors.

To find the factors of a given number, you can start by dividing the number by the smallest prime number, which is 2, and continue dividing until you cannot divide anymore. Then, you move on to the next prime number and repeat the process until you reach the largest prime number.

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