Example: 210
210
105,2
35,3,2
7,5,3,2
2 x 3 x 5 x 7 = 210
2 x 2 x 13 = 52
prime factorization of 12: 2 x 2 x 3
As a product of its prime factors: 2*3*5*5 = 150 or as 2*3*52 = 150
32 = 25
It is itself because 31 is a prime number
2 1, 2
Factor Tree of 20: ........20 ......../ \ .......4 5 ....../ \ .....2 2
All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210.
Here is a factor tree of eight: 8 / \ 4 2 / \ 2 2
(2)(2)(2)(2)
Prime Factor Tree: ........452 ........./ \ .......4 113 ....../ \ ....2...2
To convert a binary tree into a q-2 tree, each node of the binary tree is examined and the structure is adjusted to fit the q-2 tree's properties. A q-2 tree is a type of balanced tree where each internal node can have two or more children, typically structured to maintain balance and facilitate efficient searching. During the conversion, nodes from the binary tree are grouped and rearranged into the q-2 tree format, ensuring that each internal node can accommodate the required number of children while preserving the binary tree's original order. This process may involve reassigning child nodes and potentially merging or splitting nodes to adhere to the q-2 tree's constraints.