Given number is 172304
The factor tree of 172304 is as follows:
| 172304 | ||||||||||||
| 2 | 86152 | |||||||||||
| 2 | 43076 | |||||||||||
| 2 | 21538 | |||||||||||
| 2 | 10769 | |||||||||||
| 11 | 979 | |||||||||||
| 11 | 89 | |||||||||||
172304 = 2 x 86152
86152 = 2 x 43076
43076 = 2 x 21538
21538 = 2 x 10769
10769 = 11 x 979
979 = 11 x 89
If we write into multiples it would be 172304 x 2
On splitting 86152 further and writing it as multiples of numbers it would be 43076 x 2.
On splitting 43076 further and writing it as multiples of numbers it would be 21538 x 2.
On splitting 21538 further and writing it as multiples of numbers it would be 10769 x 2.
On splitting 10769 further and writing it as multiples of numbers it would be 979 x 11.
On splitting 979 further and writing it as multiples of numbers it would be 89 x 11.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 172304. 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 172304. Let’s start with 2 x 2 x 2 x 2 x 11 x 11 x 89 as it results in 172304 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 172304 now and we can write as 2 x 2 x 2 x 2 x 11 x 11 x 89 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 11, 11, 89 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 172304 ?
Answer: Prime Factors of 172304 are 2 x 2 x 2 x 2 x 11 x 11 x 89.
2. What are the Prime Factors of 172304 ?
Answer: Prime Factors of 172304 are 2 x 2 x 2 x 2 x 11 x 11 x 89.