Given number is 238464
The factor tree of 238464 is as follows:
| 238464 | |||||||||||||||||
| 2 | 119232 | ||||||||||||||||
| 2 | 59616 | ||||||||||||||||
| 2 | 29808 | ||||||||||||||||
| 2 | 14904 | ||||||||||||||||
| 2 | 7452 | ||||||||||||||||
| 2 | 3726 | ||||||||||||||||
| 2 | 1863 | ||||||||||||||||
| 3 | 621 | ||||||||||||||||
| 3 | 207 | ||||||||||||||||
| 3 | 69 | ||||||||||||||||
| 3 | 23 | ||||||||||||||||
238464 = 2 x 119232
119232 = 2 x 59616
59616 = 2 x 29808
29808 = 2 x 14904
14904 = 2 x 7452
7452 = 2 x 3726
3726 = 2 x 1863
1863 = 3 x 621
621 = 3 x 207
207 = 3 x 69
69 = 3 x 23
If we write into multiples it would be 238464 x 2
On splitting 119232 further and writing it as multiples of numbers it would be 59616 x 2.
On splitting 59616 further and writing it as multiples of numbers it would be 29808 x 2.
On splitting 29808 further and writing it as multiples of numbers it would be 14904 x 2.
On splitting 14904 further and writing it as multiples of numbers it would be 7452 x 2.
On splitting 7452 further and writing it as multiples of numbers it would be 3726 x 2.
On splitting 3726 further and writing it as multiples of numbers it would be 1863 x 2.
On splitting 1863 further and writing it as multiples of numbers it would be 621 x 3.
On splitting 621 further and writing it as multiples of numbers it would be 207 x 3.
On splitting 207 further and writing it as multiples of numbers it would be 69 x 3.
On splitting 69 further and writing it as multiples of numbers it would be 23 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 238464. 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 238464. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 23 as it results in 238464 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 238464 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 23 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 23 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 238464 ?
Answer: Prime Factors of 238464 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 23.
2. What are the Prime Factors of 238464 ?
Answer: Prime Factors of 238464 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 23.