Given number is 36120
The factor tree of 36120 is as follows:
| 36120 | ||||||||||||
| 2 | 18060 | |||||||||||
| 2 | 9030 | |||||||||||
| 2 | 4515 | |||||||||||
| 3 | 1505 | |||||||||||
| 5 | 301 | |||||||||||
| 7 | 43 | |||||||||||
36120 = 2 x 18060
18060 = 2 x 9030
9030 = 2 x 4515
4515 = 3 x 1505
1505 = 5 x 301
301 = 7 x 43
If we write into multiples it would be 36120 x 2
On splitting 18060 further and writing it as multiples of numbers it would be 9030 x 2.
On splitting 9030 further and writing it as multiples of numbers it would be 4515 x 2.
On splitting 4515 further and writing it as multiples of numbers it would be 1505 x 3.
On splitting 1505 further and writing it as multiples of numbers it would be 301 x 5.
On splitting 301 further and writing it as multiples of numbers it would be 43 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 36120. 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 36120. Let’s start with 2 x 2 x 2 x 3 x 5 x 7 x 43 as it results in 36120 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 36120 now and we can write as 2 x 2 x 2 x 3 x 5 x 7 x 43 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 5, 7, 43 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 36120 ?
Answer: Prime Factors of 36120 are 2 x 2 x 2 x 3 x 5 x 7 x 43.
2. What are the Prime Factors of 36120 ?
Answer: Prime Factors of 36120 are 2 x 2 x 2 x 3 x 5 x 7 x 43.