Given number is 32448
The factor tree of 32448 is as follows:
| 32448 | ||||||||||||||
| 2 | 16224 | |||||||||||||
| 2 | 8112 | |||||||||||||
| 2 | 4056 | |||||||||||||
| 2 | 2028 | |||||||||||||
| 2 | 1014 | |||||||||||||
| 2 | 507 | |||||||||||||
| 3 | 169 | |||||||||||||
| 13 | 13 | |||||||||||||
32448 = 2 x 16224
16224 = 2 x 8112
8112 = 2 x 4056
4056 = 2 x 2028
2028 = 2 x 1014
1014 = 2 x 507
507 = 3 x 169
169 = 13 x 13
If we write into multiples it would be 32448 x 2
On splitting 16224 further and writing it as multiples of numbers it would be 8112 x 2.
On splitting 8112 further and writing it as multiples of numbers it would be 4056 x 2.
On splitting 4056 further and writing it as multiples of numbers it would be 2028 x 2.
On splitting 2028 further and writing it as multiples of numbers it would be 1014 x 2.
On splitting 1014 further and writing it as multiples of numbers it would be 507 x 2.
On splitting 507 further and writing it as multiples of numbers it would be 169 x 3.
On splitting 169 further and writing it as multiples of numbers it would be 13 x 13.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 32448. 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 32448. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 13 as it results in 32448 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 32448 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 13, 13 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 32448 ?
Answer: Prime Factors of 32448 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 13.
2. What are the Prime Factors of 32448 ?
Answer: Prime Factors of 32448 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 13.