Given number is 12300
The factor tree of 12300 is as follows:
| 12300 | |||||||||||
| 2 | 6150 | ||||||||||
| 2 | 3075 | ||||||||||
| 3 | 1025 | ||||||||||
| 5 | 205 | ||||||||||
| 5 | 41 | ||||||||||
12300 = 2 x 6150
6150 = 2 x 3075
3075 = 3 x 1025
1025 = 5 x 205
205 = 5 x 41
If we write into multiples it would be 12300 x 2
On splitting 6150 further and writing it as multiples of numbers it would be 3075 x 2.
On splitting 3075 further and writing it as multiples of numbers it would be 1025 x 3.
On splitting 1025 further and writing it as multiples of numbers it would be 205 x 5.
On splitting 205 further and writing it as multiples of numbers it would be 41 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 12300. 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 12300. Let’s start with 2 x 2 x 3 x 5 x 5 x 41 as it results in 12300 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 12300 now and we can write as 2 x 2 x 3 x 5 x 5 x 41 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 5, 5, 41 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 12300 ?
Answer: Prime Factors of 12300 are 2 x 2 x 3 x 5 x 5 x 41.
2. What are the Prime Factors of 12300 ?
Answer: Prime Factors of 12300 are 2 x 2 x 3 x 5 x 5 x 41.