Given number is 13500
The factor tree of 13500 is as follows:
| 13500 | |||||||||||||
| 2 | 6750 | ||||||||||||
| 2 | 3375 | ||||||||||||
| 3 | 1125 | ||||||||||||
| 3 | 375 | ||||||||||||
| 3 | 125 | ||||||||||||
| 5 | 25 | ||||||||||||
| 5 | 5 | ||||||||||||
13500 = 2 x 6750
6750 = 2 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 13500 x 2
On splitting 6750 further and writing it as multiples of numbers it would be 3375 x 2.
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 13500. 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 13500. Let’s start with 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 as it results in 13500 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 13500 now and we can write as 2 x 2 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 2, 2, 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 13500 ?
Answer: Prime Factors of 13500 are 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5.
2. What are the Prime Factors of 13500 ?
Answer: Prime Factors of 13500 are 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5.