A factor tree is an aid to find the prime factors of a number. See link below. The prime factors of 60 are 2, 2, 3 and 5.
60
4 x 15
(2x2) x (3x5)
Alternate tree:
60
12 x 5
(3x4) x 5
(3 x (2x2)) x 5
Note: Once you have reached a Prime number, you typically do not continue to repeat it in the next line of the tree, but I carried them down to the next line to help with spacing and show the final result of prime factors.
Alternate tree:
60
30 x 2
(15x2) x 2
((5x3) x 2) x 2
Since 60 is a factor of 360, it is automatically the GCF.
83 is prime. No tree.
To determine if (8a) is a factor of 60, we need to check if 60 can be evenly divided by (8a). Since 60 is not divisible by 8 (as (60 \div 8 = 7.5)), (8a) cannot be a factor of 60 for any value of (a) other than zero. Therefore, (8a) is not a factor of 60.
61 is already prime. It doesn't need a tree.
5 is a common factor of 25 and 60.
Because 45 is not a factor of 60.
60 30,2 15,2,2 5,3,2,2
60 30,2 15,2,2 5,3,2,2
60 30,2 15,2,2 5,3,2,2
60 30,2 15,2,2 5,3,2,2
45 doesn't divide into 60 evenly.
Because 45 is not a factor of 60.
30,2 15,2,2 5,3,2,2
45 doesn't divide into 60 evenly.
as you can obviously see the bottom of a factor tree would be the curious numbers of 2,2,3,5
use a factor tree
24 12,2 6,2,2 3,2,2,2 60 30,2 15,2,2 5,3,2,2