The prime factors of 144 are: 2,3
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Since 72 is a factor of 144, its entire prime factorization will be contained in the prime factorization of 144.
2 x 73 is the prime factorization of 146.
144 /\ 12 12 /\ /\ 3 4 3 4 /\ /\ 2 2 2 2 So, 2^4*3^2
144 = 24 × 32
12