Given number is 288360
The factor tree of 288360 is as follows:
| 288360 | ||||||||||||||
| 2 | 144180 | |||||||||||||
| 2 | 72090 | |||||||||||||
| 2 | 36045 | |||||||||||||
| 3 | 12015 | |||||||||||||
| 3 | 4005 | |||||||||||||
| 3 | 1335 | |||||||||||||
| 3 | 445 | |||||||||||||
| 5 | 89 | |||||||||||||
288360 = 2 x 144180
144180 = 2 x 72090
72090 = 2 x 36045
36045 = 3 x 12015
12015 = 3 x 4005
4005 = 3 x 1335
1335 = 3 x 445
445 = 5 x 89
If we write into multiples it would be 288360 x 2
On splitting 144180 further and writing it as multiples of numbers it would be 72090 x 2.
On splitting 72090 further and writing it as multiples of numbers it would be 36045 x 2.
On splitting 36045 further and writing it as multiples of numbers it would be 12015 x 3.
On splitting 12015 further and writing it as multiples of numbers it would be 4005 x 3.
On splitting 4005 further and writing it as multiples of numbers it would be 1335 x 3.
On splitting 1335 further and writing it as multiples of numbers it would be 445 x 3.
On splitting 445 further and writing it as multiples of numbers it would be 89 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 288360. 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 288360. Let’s start with 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 89 as it results in 288360 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 288360 now and we can write as 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 89 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 3, 3, 5, 89 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 288360 ?
Answer: Prime Factors of 288360 are 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 89.
2. What are the Prime Factors of 288360 ?
Answer: Prime Factors of 288360 are 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 89.