Given number is 102375
The factor tree of 102375 is as follows:
| 102375 | ||||||||||||
| 3 | 34125 | |||||||||||
| 3 | 11375 | |||||||||||
| 5 | 2275 | |||||||||||
| 5 | 455 | |||||||||||
| 5 | 91 | |||||||||||
| 7 | 13 | |||||||||||
102375 = 3 x 34125
34125 = 3 x 11375
11375 = 5 x 2275
2275 = 5 x 455
455 = 5 x 91
91 = 7 x 13
If we write into multiples it would be 102375 x 3
On splitting 34125 further and writing it as multiples of numbers it would be 11375 x 3.
On splitting 11375 further and writing it as multiples of numbers it would be 2275 x 5.
On splitting 2275 further and writing it as multiples of numbers it would be 455 x 5.
On splitting 455 further and writing it as multiples of numbers it would be 91 x 5.
On splitting 91 further and writing it as multiples of numbers it would be 13 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 102375. 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 102375. Let’s start with 3 x 3 x 5 x 5 x 5 x 7 x 13 as it results in 102375 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 102375 now and we can write as 3 x 3 x 5 x 5 x 5 x 7 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 3, 3, 5, 5, 5, 7, 13 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 102375 ?
Answer: Prime Factors of 102375 are 3 x 3 x 5 x 5 x 5 x 7 x 13.
2. What are the Prime Factors of 102375 ?
Answer: Prime Factors of 102375 are 3 x 3 x 5 x 5 x 5 x 7 x 13.