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# Factors

The factors of a number are those that are contained in the same number an exact number of times. In fact, when calculating the gcf of two numbers we are calculating the greatest common divisor of both.

Therefore, given a number, another number is its divisor as long as they are divisible by it.

for example:

## How to find the factors of a number

How to find the factors of a number

1. Divide the number whenever possible by the smallest prime number that can be divided.

For example, with the number 256 we divide it by the smallest prime number whenever possible:
256/2=128
128/2=64
64/2=32
32/2=16
16/2=8
8/2=4
4/2=2
2/2=1
So the result is: 1, 2, 4, 8, 16, 32, 64, 128 y 256.

2. Every natural number always has as its divisors itself and 1.

In the previous step it is verified that 256 can effectively be divided between itself and 1.

## Exercices

1. Show the results from least to greatest:

## Ejercicios de Máximo Común Divisor

### Factors of 36

The number 36 has 9 factors and is a composite number. To calculate the factors of 36 we divide,...

### Factors of 35

The number 35 has 4 factors and is a composite number. To calculate the factors of 35 we divide,...

### Factors of 34

The number 4 has 4 factors and is a composite number. To calculate the factors of 34 we divide,...

### Factors of 33

The number 33 has 4 factors and is a composiite number. To calculate the factors of 33 we divide,...

### Factors of 32

The number 32 has 6 factors and is a composite number. To calculate the factors of 32 we divide,...

### Factors of 31

The number 31 has 2 factors and is a prime number. To calculate the factors of 31 we divide,...

### Factors of 30

The number 30 has 8 factors and is a composite number. To calculate the factors of 30 we divide,...

### Factors of 29

The number 29 has 2 factors and is a prime number. To calculate the factors of 29 we divide,...

### Factors of 28

The number 28 has 5 factors and is a composite number. To calculate the factors of 28 we divide,...

### Factors of 27

The number 27 has 4 factors and is a composite number. To calculate the factors of 27 we divide,...