Factor Tree of 41472
How to find the Factor Tree of 41472
Given number is 41472
The factor tree of 41472 is as follows:
| 41472 | ||||||||||||||||||
| 2 | 20736 | |||||||||||||||||
| 2 | 10368 | |||||||||||||||||
| 2 | 5184 | |||||||||||||||||
| 2 | 2592 | |||||||||||||||||
| 2 | 1296 | |||||||||||||||||
| 2 | 648 | |||||||||||||||||
| 2 | 324 | |||||||||||||||||
| 2 | 162 | |||||||||||||||||
| 2 | 81 | |||||||||||||||||
| 3 | 27 | |||||||||||||||||
| 3 | 9 | |||||||||||||||||
| 3 | 3 | |||||||||||||||||
41472 = 2 x 20736
20736 = 2 x 10368
10368 = 2 x 5184
5184 = 2 x 2592
2592 = 2 x 1296
1296 = 2 x 648
648 = 2 x 324
324 = 2 x 162
162 = 2 x 81
81 = 3 x 27
27 = 3 x 9
9 = 3 x 3
If we write into multiples it would be 41472 x 2
On splitting 20736 further and writing it as multiples of numbers it would be 10368 x 2.
On splitting 10368 further and writing it as multiples of numbers it would be 5184 x 2.
On splitting 5184 further and writing it as multiples of numbers it would be 2592 x 2.
On splitting 2592 further and writing it as multiples of numbers it would be 1296 x 2.
On splitting 1296 further and writing it as multiples of numbers it would be 648 x 2.
On splitting 648 further and writing it as multiples of numbers it would be 324 x 2.
On splitting 324 further and writing it as multiples of numbers it would be 162 x 2.
On splitting 162 further and writing it as multiples of numbers it would be 81 x 2.
On splitting 81 further and writing it as multiples of numbers it would be 27 x 3.
On splitting 27 further and writing it as multiples of numbers it would be 9 x 3.
On splitting 9 further and writing it as multiples of numbers it would be 3 x 3.
Factor Tree Calculations
Here are examples of Factor tree calculations.
Ways to Find Factors of 41472
Here we are providing different methods to find the factors of the number 41472. 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 41472. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 as it results in 41472 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 41472 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 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, 3, 3, 3, 3 obtained here are also prime numbers and we will end up these branches.
FAQ on 41472 Factor Tree
1. What is factor tree for 41472 ?
Answer: Prime Factors of 41472 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3.
2. What are the Prime Factors of 41472 ?
Answer: Prime Factors of 41472 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3.