144 Divide by two.
72,2 Divide by two.
36,2,2 Divide by two.
18,2,2,2 Divide by two.
9,2,2,2,2 Divide by three.
3,3,2,2,2,2 Stop.
2 x 2 x 2 x 2 x 3 x 3 = 144
2x2x2x2x3x3
24 x 32 = 144
144 = 2 x 2 x 2 x 2 x 3 x 3
find the prime factorization of 268
Prime factorization of 560 = 2x2x2x2x5x7.
Since 72 is a factor of 144, its whole prime factorization will be contained in the prime factorization of 144.
Since 72 is a factor of 144, its entire prime factorization will be contained in the prime factorization of 144.
2 * 2 * 2 * 2 * 3 * 3 = 144
144 72,2 36,2,2 18,2,2,2 9,2,2,2,2 3,3,2,2,2,2
2x2x2x2x3x3
since 144 is 122 you can find the primefactorization easy by noting that 12=22 x3 so 144=24x32
144 = 24 32
The prime factors of 144 are: 2,3
24*32 = 144
144 = 24 x 32
24 x 32 = 144
24 x 32 = 144