Given number is 102024
The factor tree of 102024 is as follows:
| 102024 | ||||||||||||
| 2 | 51012 | |||||||||||
| 2 | 25506 | |||||||||||
| 2 | 12753 | |||||||||||
| 3 | 4251 | |||||||||||
| 3 | 1417 | |||||||||||
| 13 | 109 | |||||||||||
102024 = 2 x 51012
51012 = 2 x 25506
25506 = 2 x 12753
12753 = 3 x 4251
4251 = 3 x 1417
1417 = 13 x 109
If we write into multiples it would be 102024 x 2
On splitting 51012 further and writing it as multiples of numbers it would be 25506 x 2.
On splitting 25506 further and writing it as multiples of numbers it would be 12753 x 2.
On splitting 12753 further and writing it as multiples of numbers it would be 4251 x 3.
On splitting 4251 further and writing it as multiples of numbers it would be 1417 x 3.
On splitting 1417 further and writing it as multiples of numbers it would be 109 x 13.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 102024. 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 102024. Let’s start with 2 x 2 x 2 x 3 x 3 x 13 x 109 as it results in 102024 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 102024 now and we can write as 2 x 2 x 2 x 3 x 3 x 13 x 109 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 13, 109 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 102024 ?
Answer: Prime Factors of 102024 are 2 x 2 x 2 x 3 x 3 x 13 x 109.
2. What are the Prime Factors of 102024 ?
Answer: Prime Factors of 102024 are 2 x 2 x 2 x 3 x 3 x 13 x 109.