Given number is 10206
The factor tree of 10206 is as follows:
| 10206 | |||||||||||||
| 2 | 5103 | ||||||||||||
| 3 | 1701 | ||||||||||||
| 3 | 567 | ||||||||||||
| 3 | 189 | ||||||||||||
| 3 | 63 | ||||||||||||
| 3 | 21 | ||||||||||||
| 3 | 7 | ||||||||||||
10206 = 2 x 5103
5103 = 3 x 1701
1701 = 3 x 567
567 = 3 x 189
189 = 3 x 63
63 = 3 x 21
21 = 3 x 7
If we write into multiples it would be 10206 x 2
On splitting 5103 further and writing it as multiples of numbers it would be 1701 x 3.
On splitting 1701 further and writing it as multiples of numbers it would be 567 x 3.
On splitting 567 further and writing it as multiples of numbers it would be 189 x 3.
On splitting 189 further and writing it as multiples of numbers it would be 63 x 3.
On splitting 63 further and writing it as multiples of numbers it would be 21 x 3.
On splitting 21 further and writing it as multiples of numbers it would be 7 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 10206. 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 10206. Let’s start with 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7 as it results in 10206 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 10206 now and we can write as 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 3, 3, 3, 3, 3, 3, 7 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 10206 ?
Answer: Prime Factors of 10206 are 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7.
2. What are the Prime Factors of 10206 ?
Answer: Prime Factors of 10206 are 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7.