225
75,3
25,3,3
5,5,3,3
Factor trees give you prime factorizations. Prime factorizations of square numbers have paired factors. The prime factorization of 225 is 3 x 3 x 5 x 5. 3 x 5, or 15, will be the square root.
3 and 5 because as a product of its prime factors: 3*3*5*5 = 225
As a product of its prime factors: 2*3*5*7 = 210
13 is already prime. It doesn't need a tree.
56 28,2 14,2,2 7,2,2,2
484 242,2 121,2,2 11,11,2,2
675 225,3 75,3,3 25,3,3,3 5,5,3,3,3
720 360,2 180,2,2 90,2,2,2 45,2,2,2,2 15,3,2,2,2,2 5,3,3,2,2,2,2
225 9*25 3*3*5*5
The factor tree of 225 is: 15, 15 3, 5, 3, 5 225 75,3 25,3,3 5,5,3,3
225 75,3 25,3,3 5,5,3,3
225 75,3 25,3,3 5,5,3,3
To draw a factor tree for 900, we start by dividing it by its smallest prime factor, which is 2. 900 Γ· 2 = 450 Next, we continue dividing the resulting quotient by its smallest prime factor. 450 Γ· 2 = 225 Now, we divide 225 by its smallest prime factor, which is 3. 225 Γ· 3 = 75 Finally, we have 75 left, and its only prime factor is itself. 75 Γ· 75 = 1 So, the factor tree for 900 is: 900 / 2 450 / 2 225 / 3 75 / 75
225 = 3 × 3 × 5 × 5
180 90,2 45,2,2 15,3,2,2 5,3,3,2,2 225 75,3 25,3,3 5,5,3,3
77 7,11
15 3,5
The factor tree or prime factorization of 225 is as follows:225v v15 x 15v v v v3 x 5 3 x 53x3x5x5 or 32 x 52
1,270,2,135
225 75, 3 25, 3, 3 5, 5, 3, 3