Given number is 7104
The factor tree of 7104 is as follows:
| 7104 | |||||||||||||
| 2 | 3552 | ||||||||||||
| 2 | 1776 | ||||||||||||
| 2 | 888 | ||||||||||||
| 2 | 444 | ||||||||||||
| 2 | 222 | ||||||||||||
| 2 | 111 | ||||||||||||
| 3 | 37 | ||||||||||||
7104 = 2 x 3552
3552 = 2 x 1776
1776 = 2 x 888
888 = 2 x 444
444 = 2 x 222
222 = 2 x 111
111 = 3 x 37
If we write into multiples it would be 7104 x 2
On splitting 3552 further and writing it as multiples of numbers it would be 1776 x 2.
On splitting 1776 further and writing it as multiples of numbers it would be 888 x 2.
On splitting 888 further and writing it as multiples of numbers it would be 444 x 2.
On splitting 444 further and writing it as multiples of numbers it would be 222 x 2.
On splitting 222 further and writing it as multiples of numbers it would be 111 x 2.
On splitting 111 further and writing it as multiples of numbers it would be 37 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 7104. 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 7104. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37 as it results in 7104 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 7104 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 37 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 7104 ?
Answer: Prime Factors of 7104 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37.
2. What are the Prime Factors of 7104 ?
Answer: Prime Factors of 7104 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37.