Given number is 198072
The factor tree of 198072 is as follows:
| 198072 | |||||||||||||
| 2 | 99036 | ||||||||||||
| 2 | 49518 | ||||||||||||
| 2 | 24759 | ||||||||||||
| 3 | 8253 | ||||||||||||
| 3 | 2751 | ||||||||||||
| 3 | 917 | ||||||||||||
| 7 | 131 | ||||||||||||
198072 = 2 x 99036
99036 = 2 x 49518
49518 = 2 x 24759
24759 = 3 x 8253
8253 = 3 x 2751
2751 = 3 x 917
917 = 7 x 131
If we write into multiples it would be 198072 x 2
On splitting 99036 further and writing it as multiples of numbers it would be 49518 x 2.
On splitting 49518 further and writing it as multiples of numbers it would be 24759 x 2.
On splitting 24759 further and writing it as multiples of numbers it would be 8253 x 3.
On splitting 8253 further and writing it as multiples of numbers it would be 2751 x 3.
On splitting 2751 further and writing it as multiples of numbers it would be 917 x 3.
On splitting 917 further and writing it as multiples of numbers it would be 131 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 198072. They are splitting numbers and prime factors.
Splitting Numbers
We can divide the number into either of its two factors. In other words, we are looking for the numbers that when multiplied together eqaul 198072. Let’s start with 2 x 2 x 2 x 3 x 3 x 3 x 7 x 131 as it results in 198072 on multiplying. We will now find the factors or ancestors of split factors, just like in any family tree.
Prime Factors
Let’s take a look at 198072 now and we can write as 2 x 2 x 2 x 3 x 3 x 3 x 7 x 131 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 3, 7, 131 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 198072 ?
Answer: Prime Factors of 198072 are 2 x 2 x 2 x 3 x 3 x 3 x 7 x 131.
2. What are the Prime Factors of 198072 ?
Answer: Prime Factors of 198072 are 2 x 2 x 2 x 3 x 3 x 3 x 7 x 131.