Question

Write 200 as a product of prime factors in index form

Answer 1

Given:

The given number is 200.

To find:

The product of prime factors in the index form for the given number.

Solution:

Prime factorization of 200 is

`2 | 200\\\overline{2}|\overline{100}\\\overline{2}|\overline{50}\\\overline{5}|\overline{25}\\\overline{5}|\overline{5}\\\ \text{}\ \ |\overline{1}`

So, 200 can be written as the product of this prime factors.

`200=2* 2* 2* 5* 5`

`200=2^3* 5^2`

Therefore, the number 200 can be written as
`2^3* 5^2`.