Given number is 33120
The factor tree of 33120 is as follows:
| 33120 | ||||||||||||||
| 2 | 16560 | |||||||||||||
| 2 | 8280 | |||||||||||||
| 2 | 4140 | |||||||||||||
| 2 | 2070 | |||||||||||||
| 2 | 1035 | |||||||||||||
| 3 | 345 | |||||||||||||
| 3 | 115 | |||||||||||||
| 5 | 23 | |||||||||||||
33120 = 2 x 16560
16560 = 2 x 8280
8280 = 2 x 4140
4140 = 2 x 2070
2070 = 2 x 1035
1035 = 3 x 345
345 = 3 x 115
115 = 5 x 23
If we write into multiples it would be 33120 x 2
On splitting 16560 further and writing it as multiples of numbers it would be 8280 x 2.
On splitting 8280 further and writing it as multiples of numbers it would be 4140 x 2.
On splitting 4140 further and writing it as multiples of numbers it would be 2070 x 2.
On splitting 2070 further and writing it as multiples of numbers it would be 1035 x 2.
On splitting 1035 further and writing it as multiples of numbers it would be 345 x 3.
On splitting 345 further and writing it as multiples of numbers it would be 115 x 3.
On splitting 115 further and writing it as multiples of numbers it would be 23 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 33120. 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 33120. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23 as it results in 33120 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 33120 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 3, 5, 23 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 33120 ?
Answer: Prime Factors of 33120 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23.
2. What are the Prime Factors of 33120 ?
Answer: Prime Factors of 33120 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23.