Given number is 142272
The factor tree of 142272 is as follows:
| 142272 | |||||||||||||||
| 2 | 71136 | ||||||||||||||
| 2 | 35568 | ||||||||||||||
| 2 | 17784 | ||||||||||||||
| 2 | 8892 | ||||||||||||||
| 2 | 4446 | ||||||||||||||
| 2 | 2223 | ||||||||||||||
| 3 | 741 | ||||||||||||||
| 3 | 247 | ||||||||||||||
| 13 | 19 | ||||||||||||||
142272 = 2 x 71136
71136 = 2 x 35568
35568 = 2 x 17784
17784 = 2 x 8892
8892 = 2 x 4446
4446 = 2 x 2223
2223 = 3 x 741
741 = 3 x 247
247 = 13 x 19
If we write into multiples it would be 142272 x 2
On splitting 71136 further and writing it as multiples of numbers it would be 35568 x 2.
On splitting 35568 further and writing it as multiples of numbers it would be 17784 x 2.
On splitting 17784 further and writing it as multiples of numbers it would be 8892 x 2.
On splitting 8892 further and writing it as multiples of numbers it would be 4446 x 2.
On splitting 4446 further and writing it as multiples of numbers it would be 2223 x 2.
On splitting 2223 further and writing it as multiples of numbers it would be 741 x 3.
On splitting 741 further and writing it as multiples of numbers it would be 247 x 3.
On splitting 247 further and writing it as multiples of numbers it would be 19 x 13.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 142272. 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 142272. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 19 as it results in 142272 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 142272 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 19 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 3, 13, 19 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 142272 ?
Answer: Prime Factors of 142272 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 19.
2. What are the Prime Factors of 142272 ?
Answer: Prime Factors of 142272 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 19.