Answer
$2^{4}$ * $3^{2}$
Work Step by Step
144
Try to divide 144 by the first prime number 2
144 $\div$ 2= 72
So 72 * 2 =144
Now again divide 72 by the prime number 2
72 $\div$ 2 = 36
again divide 36 by the prime number 2
36 $\div$ 2 = 18
divide 18 by the prime number 2
18 $\div$ 2 = 9
Divide 9 by the prime number 3
9 $\div$ 3 = 3
2*2*2*2*3*3 = 144
Because all the factors are prime. So the prime factorization of 144 is
2*2*2*2*3*3 = $2^{4}$ * $3^{2}$
