Given number is 20304
The factor tree of 20304 is as follows:
| 20304 | |||||||||||||
| 2 | 10152 | ||||||||||||
| 2 | 5076 | ||||||||||||
| 2 | 2538 | ||||||||||||
| 2 | 1269 | ||||||||||||
| 3 | 423 | ||||||||||||
| 3 | 141 | ||||||||||||
| 3 | 47 | ||||||||||||
20304 = 2 x 10152
10152 = 2 x 5076
5076 = 2 x 2538
2538 = 2 x 1269
1269 = 3 x 423
423 = 3 x 141
141 = 3 x 47
If we write into multiples it would be 20304 x 2
On splitting 10152 further and writing it as multiples of numbers it would be 5076 x 2.
On splitting 5076 further and writing it as multiples of numbers it would be 2538 x 2.
On splitting 2538 further and writing it as multiples of numbers it would be 1269 x 2.
On splitting 1269 further and writing it as multiples of numbers it would be 423 x 3.
On splitting 423 further and writing it as multiples of numbers it would be 141 x 3.
On splitting 141 further and writing it as multiples of numbers it would be 47 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 20304. 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 20304. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 3 x 47 as it results in 20304 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 20304 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 x 3 x 47 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 3, 3, 47 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 20304 ?
Answer: Prime Factors of 20304 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 47.
2. What are the Prime Factors of 20304 ?
Answer: Prime Factors of 20304 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 47.