Given number is 130464
The factor tree of 130464 is as follows:
| 130464 | ||||||||||||||
| 2 | 65232 | |||||||||||||
| 2 | 32616 | |||||||||||||
| 2 | 16308 | |||||||||||||
| 2 | 8154 | |||||||||||||
| 2 | 4077 | |||||||||||||
| 3 | 1359 | |||||||||||||
| 3 | 453 | |||||||||||||
| 3 | 151 | |||||||||||||
130464 = 2 x 65232
65232 = 2 x 32616
32616 = 2 x 16308
16308 = 2 x 8154
8154 = 2 x 4077
4077 = 3 x 1359
1359 = 3 x 453
453 = 3 x 151
If we write into multiples it would be 130464 x 2
On splitting 65232 further and writing it as multiples of numbers it would be 32616 x 2.
On splitting 32616 further and writing it as multiples of numbers it would be 16308 x 2.
On splitting 16308 further and writing it as multiples of numbers it would be 8154 x 2.
On splitting 8154 further and writing it as multiples of numbers it would be 4077 x 2.
On splitting 4077 further and writing it as multiples of numbers it would be 1359 x 3.
On splitting 1359 further and writing it as multiples of numbers it would be 453 x 3.
On splitting 453 further and writing it as multiples of numbers it would be 151 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 130464. 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 130464. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 151 as it results in 130464 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 130464 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 151 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 3, 3, 151 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 130464 ?
Answer: Prime Factors of 130464 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 151.
2. What are the Prime Factors of 130464 ?
Answer: Prime Factors of 130464 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 151.