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.

$200=2\times 2\times 2\times 5\times 5$

$200=2^3\times 5^2$

Therefore, the number 200 can be written as $2^3\times 5^2$.