Given number is 10125
The factor tree of 10125 is as follows:
| 10125 | ||||||||||||
| 3 | 3375 | |||||||||||
| 3 | 1125 | |||||||||||
| 3 | 375 | |||||||||||
| 3 | 125 | |||||||||||
| 5 | 25 | |||||||||||
| 5 | 5 | |||||||||||
10125 = 3 x 3375
3375 = 3 x 1125
1125 = 3 x 375
375 = 3 x 125
125 = 5 x 25
25 = 5 x 5
If we write into multiples it would be 10125 x 3
On splitting 3375 further and writing it as multiples of numbers it would be 1125 x 3.
On splitting 1125 further and writing it as multiples of numbers it would be 375 x 3.
On splitting 375 further and writing it as multiples of numbers it would be 125 x 3.
On splitting 125 further and writing it as multiples of numbers it would be 25 x 5.
On splitting 25 further and writing it as multiples of numbers it would be 5 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 10125. 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 10125. Let’s start with 3 x 3 x 3 x 3 x 5 x 5 x 5 as it results in 10125 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 10125 now and we can write as 3 x 3 x 3 x 3 x 5 x 5 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 3, 3, 3, 3, 5, 5, 5 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 10125 ?
Answer: Prime Factors of 10125 are 3 x 3 x 3 x 3 x 5 x 5 x 5.
2. What are the Prime Factors of 10125 ?
Answer: Prime Factors of 10125 are 3 x 3 x 3 x 3 x 5 x 5 x 5.