Answer
$2^{2}$ * $5^{3}$
Work Step by Step
500
Try to divide 500 by the first prime, 2.
500 = 250 * 2
again divide 250 by the first prime number 2
250 = 125 * 2
Divide 125 by the prime number 5
125 = 25 * 5
Again divide 25 by 5
25 = 5 * 5
So, 2*2*5*5*5
Because all factors are prime, the prime factorization of 144 is
2*2*5*5*5
= $2^{2}$ * $5^{3}$