360
72,5
24,3,5
8,3,3,5
4,2,3,3,5
2,2,2,3,3,5
Use a factor tree.360 Divide by two.180,2 Divide by two.90,2,2 Divide by two.45,2,2,2 Divide by three.15,3,2,2,2 Divide by three.5,3,3,2,2,2 Stop.2 x 2 x 2 x 3 x 3 x 5 = 360
18 6 x 3 (2x3) x 3 Since 2 and 3 are prime numbers, the factor tree is complete. An alternate version of the factor tree for 18 is: 18 2 x 9 2 x (3x3)
2/2/3/3/3/5/7
360180 x 290 x 2 x 245 x 2 x 2 x 29 x 5 x 2 x 2 x 23 x 3 x 5 x 2 x 2 x 2 = 360
162 2, 81 2, 9, 9 2, 3, 3, 3, 3
It is: 2*2*2*3*3*5 = 360
2 2 2 3 3 5
1*2*2*2*3*3*5=360
150 75, 2 25, 3, 2 5, 5, 3, 2
2 x 2 x 2 x 3 x 3 x 5 = 360
A commonly used factor tree for 132 is: 132 11 12 11 4 3 11 2 4 3 Another factor tree for 132 is: 132 66 2 22 3 2 11 2 3 2 Yet another factor tree for 132 is: 132 66 2 33 2 2 11 3 2 2 Hey for the first factor tree 4 isn't prime
Example: 360 360 180,2 90,2,2 45,2,2,2 15,3,2,2,2 5,3,3,2,2,2 2 x 2 x 2 x 3 x 3 x 5 = 360 2^3 x 3^2 x 5 = 360 The exponent shows how many times the base is repeated.
2 x 2 x 2 x 3 x 3 x 5 = 360
3^2*5*2^3
Factor tree: ............78 .........../..\ ..........2..39 ............../..\ ............3...13 78 = 2 x 3 x 13
The GCF and LCM of 360 and 924 are 12 and 27720, respectively. 360 = 2 x 2 x 2 x 3 x 3 x 5, 924 = 2 x 2 x 3 x 7 x 11 HCF = 2 x 2 x 3, ie 12 LCM = 360 x 77, ie 27720
Use a factor tree.360 Divide by two.180,2 Divide by two.90,2,2 Divide by two.45,2,2,2 Divide by three.15,3,2,2,2 Divide by three.5,3,3,2,2,2 Stop.2 x 2 x 2 x 3 x 3 x 5 = 360