Respuesta :

Answer:  [tex]2*2*5*5[/tex]

Step-by-step explanation:

For this exercise it is important to remember that, by definition:

1. A Prime number  is defined as that number that  only has two factors: itself and 1.

2. A Composite number is that number that  has more than two factors, which means that a Composite number it is not prime.

3. Prime factorization consist in finding the prime factors that gives the original number.

Then, in this case, you need to descompose the number [tex]100[/tex] into its prime factors, as following:

[tex]100=2*2*5*5[/tex]  (This is the expanded form)

Note:

If you want to write it index form, this is:

[tex]100=2^2*5^2[/tex]