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
Since 72 is a factor of 144, its entire prime factorization will be contained in the prime factorization of 144.
Since 72 is a factor of 144, its whole prime factorization will be contained in the prime factorization of 144.
2x2x2x2x3x3
144 = 24 32
24*32 = 144
144 = 24 x 32
24 x 32 = 144
24 x 32 = 144
144 72,2 36,2,2 18,2,2,2 9,2,2,2,2 3,3,2,2,2,2
144
It is: 144
144 is a perfect square, whose square factor is 12: Therefore we simply repeat the prime factorization of 12 (3,2,2) twice: 2,2,2,2,3,3.