## Basic College Mathematics (9th Edition)

$2^{2}$ * $5^{3}$
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 = $2^{2}$ * $5^{3}$