Given number is 103104
The factor tree of 103104 is as follows:
| 103104 | ||||||||||||||
| 2 | 51552 | |||||||||||||
| 2 | 25776 | |||||||||||||
| 2 | 12888 | |||||||||||||
| 2 | 6444 | |||||||||||||
| 2 | 3222 | |||||||||||||
| 2 | 1611 | |||||||||||||
| 3 | 537 | |||||||||||||
| 3 | 179 | |||||||||||||
103104 = 2 x 51552
51552 = 2 x 25776
25776 = 2 x 12888
12888 = 2 x 6444
6444 = 2 x 3222
3222 = 2 x 1611
1611 = 3 x 537
537 = 3 x 179
If we write into multiples it would be 103104 x 2
On splitting 51552 further and writing it as multiples of numbers it would be 25776 x 2.
On splitting 25776 further and writing it as multiples of numbers it would be 12888 x 2.
On splitting 12888 further and writing it as multiples of numbers it would be 6444 x 2.
On splitting 6444 further and writing it as multiples of numbers it would be 3222 x 2.
On splitting 3222 further and writing it as multiples of numbers it would be 1611 x 2.
On splitting 1611 further and writing it as multiples of numbers it would be 537 x 3.
On splitting 537 further and writing it as multiples of numbers it would be 179 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 103104. 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 103104. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 179 as it results in 103104 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 103104 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 179 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 3, 179 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 103104 ?
Answer: Prime Factors of 103104 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 179.
2. What are the Prime Factors of 103104 ?
Answer: Prime Factors of 103104 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 179.