Given number is 47104
The factor tree of 47104 is as follows:
| 47104 | |||||||||||||||||
| 2 | 23552 | ||||||||||||||||
| 2 | 11776 | ||||||||||||||||
| 2 | 5888 | ||||||||||||||||
| 2 | 2944 | ||||||||||||||||
| 2 | 1472 | ||||||||||||||||
| 2 | 736 | ||||||||||||||||
| 2 | 368 | ||||||||||||||||
| 2 | 184 | ||||||||||||||||
| 2 | 92 | ||||||||||||||||
| 2 | 46 | ||||||||||||||||
| 2 | 23 | ||||||||||||||||
47104 = 2 x 23552
23552 = 2 x 11776
11776 = 2 x 5888
5888 = 2 x 2944
2944 = 2 x 1472
1472 = 2 x 736
736 = 2 x 368
368 = 2 x 184
184 = 2 x 92
92 = 2 x 46
46 = 2 x 23
If we write into multiples it would be 47104 x 2
On splitting 23552 further and writing it as multiples of numbers it would be 11776 x 2.
On splitting 11776 further and writing it as multiples of numbers it would be 5888 x 2.
On splitting 5888 further and writing it as multiples of numbers it would be 2944 x 2.
On splitting 2944 further and writing it as multiples of numbers it would be 1472 x 2.
On splitting 1472 further and writing it as multiples of numbers it would be 736 x 2.
On splitting 736 further and writing it as multiples of numbers it would be 368 x 2.
On splitting 368 further and writing it as multiples of numbers it would be 184 x 2.
On splitting 184 further and writing it as multiples of numbers it would be 92 x 2.
On splitting 92 further and writing it as multiples of numbers it would be 46 x 2.
On splitting 46 further and writing it as multiples of numbers it would be 23 x 2.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 47104. 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 47104. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 23 as it results in 47104 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 47104 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 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, 2, 2, 2, 2, 23 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 47104 ?
Answer: Prime Factors of 47104 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 23.
2. What are the Prime Factors of 47104 ?
Answer: Prime Factors of 47104 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 23.