Given number is 4672
The factor tree of 4672 is as follows:
| 4672 | ||||||||||||
| 2 | 2336 | |||||||||||
| 2 | 1168 | |||||||||||
| 2 | 584 | |||||||||||
| 2 | 292 | |||||||||||
| 2 | 146 | |||||||||||
| 2 | 73 | |||||||||||
4672 = 2 x 2336
2336 = 2 x 1168
1168 = 2 x 584
584 = 2 x 292
292 = 2 x 146
146 = 2 x 73
If we write into multiples it would be 4672 x 2
On splitting 2336 further and writing it as multiples of numbers it would be 1168 x 2.
On splitting 1168 further and writing it as multiples of numbers it would be 584 x 2.
On splitting 584 further and writing it as multiples of numbers it would be 292 x 2.
On splitting 292 further and writing it as multiples of numbers it would be 146 x 2.
On splitting 146 further and writing it as multiples of numbers it would be 73 x 2.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 4672. 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 4672. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 73 as it results in 4672 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 4672 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 73 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 73 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 4672 ?
Answer: Prime Factors of 4672 are 2 x 2 x 2 x 2 x 2 x 2 x 73.
2. What are the Prime Factors of 4672 ?
Answer: Prime Factors of 4672 are 2 x 2 x 2 x 2 x 2 x 2 x 73.