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
Here is a factor tree of eight: 8 / \ 4 2 / \ 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.
(2)(2)(2)(2)
Prime Factor Tree: ........452 ........./ \ .......4 113 ....../ \ ....2...2
Factor Tree of 472: ...............472 ................/ \ ...... .....236 2 ............./ \ .........118 2 ........../ \ ........59 2