Given number is 144072
The factor tree of 144072 is as follows:
| 144072 | |||||||||||||
| 2 | 72036 | ||||||||||||
| 2 | 36018 | ||||||||||||
| 2 | 18009 | ||||||||||||
| 3 | 6003 | ||||||||||||
| 3 | 2001 | ||||||||||||
| 3 | 667 | ||||||||||||
| 23 | 29 | ||||||||||||
144072 = 2 x 72036
72036 = 2 x 36018
36018 = 2 x 18009
18009 = 3 x 6003
6003 = 3 x 2001
2001 = 3 x 667
667 = 23 x 29
If we write into multiples it would be 144072 x 2
On splitting 72036 further and writing it as multiples of numbers it would be 36018 x 2.
On splitting 36018 further and writing it as multiples of numbers it would be 18009 x 2.
On splitting 18009 further and writing it as multiples of numbers it would be 6003 x 3.
On splitting 6003 further and writing it as multiples of numbers it would be 2001 x 3.
On splitting 2001 further and writing it as multiples of numbers it would be 667 x 3.
On splitting 667 further and writing it as multiples of numbers it would be 29 x 23.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 144072. 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 144072. Let’s start with 2 x 2 x 2 x 3 x 3 x 3 x 23 x 29 as it results in 144072 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 144072 now and we can write as 2 x 2 x 2 x 3 x 3 x 3 x 23 x 29 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 3, 23, 29 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 144072 ?
Answer: Prime Factors of 144072 are 2 x 2 x 2 x 3 x 3 x 3 x 23 x 29.
2. What are the Prime Factors of 144072 ?
Answer: Prime Factors of 144072 are 2 x 2 x 2 x 3 x 3 x 3 x 23 x 29.