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:

factors

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

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