Given number is 462024
The factor tree of 462024 is as follows:
| 462024 | ||||||||||||||
| 2 | 231012 | |||||||||||||
| 2 | 115506 | |||||||||||||
| 2 | 57753 | |||||||||||||
| 3 | 19251 | |||||||||||||
| 3 | 6417 | |||||||||||||
| 3 | 2139 | |||||||||||||
| 3 | 713 | |||||||||||||
| 23 | 31 | |||||||||||||
462024 = 2 x 231012
231012 = 2 x 115506
115506 = 2 x 57753
57753 = 3 x 19251
19251 = 3 x 6417
6417 = 3 x 2139
2139 = 3 x 713
713 = 23 x 31
If we write into multiples it would be 462024 x 2
On splitting 231012 further and writing it as multiples of numbers it would be 115506 x 2.
On splitting 115506 further and writing it as multiples of numbers it would be 57753 x 2.
On splitting 57753 further and writing it as multiples of numbers it would be 19251 x 3.
On splitting 19251 further and writing it as multiples of numbers it would be 6417 x 3.
On splitting 6417 further and writing it as multiples of numbers it would be 2139 x 3.
On splitting 2139 further and writing it as multiples of numbers it would be 713 x 3.
On splitting 713 further and writing it as multiples of numbers it would be 31 x 23.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 462024. 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 462024. Let’s start with 2 x 2 x 2 x 3 x 3 x 3 x 3 x 23 x 31 as it results in 462024 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 462024 now and we can write as 2 x 2 x 2 x 3 x 3 x 3 x 3 x 23 x 31 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 3, 3, 23, 31 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 462024 ?
Answer: Prime Factors of 462024 are 2 x 2 x 2 x 3 x 3 x 3 x 3 x 23 x 31.
2. What are the Prime Factors of 462024 ?
Answer: Prime Factors of 462024 are 2 x 2 x 2 x 3 x 3 x 3 x 3 x 23 x 31.