Given number is 8352
The factor tree of 8352 is as follows:
| 8352 | |||||||||||||
| 2 | 4176 | ||||||||||||
| 2 | 2088 | ||||||||||||
| 2 | 1044 | ||||||||||||
| 2 | 522 | ||||||||||||
| 2 | 261 | ||||||||||||
| 3 | 87 | ||||||||||||
| 3 | 29 | ||||||||||||
8352 = 2 x 4176
4176 = 2 x 2088
2088 = 2 x 1044
1044 = 2 x 522
522 = 2 x 261
261 = 3 x 87
87 = 3 x 29
If we write into multiples it would be 8352 x 2
On splitting 4176 further and writing it as multiples of numbers it would be 2088 x 2.
On splitting 2088 further and writing it as multiples of numbers it would be 1044 x 2.
On splitting 1044 further and writing it as multiples of numbers it would be 522 x 2.
On splitting 522 further and writing it as multiples of numbers it would be 261 x 2.
On splitting 261 further and writing it as multiples of numbers it would be 87 x 3.
On splitting 87 further and writing it as multiples of numbers it would be 29 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 8352. 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 8352. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29 as it results in 8352 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 8352 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 3, 29 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 8352 ?
Answer: Prime Factors of 8352 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29.
2. What are the Prime Factors of 8352 ?
Answer: Prime Factors of 8352 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29.