Given number is 15120
The factor tree of 15120 is as follows:
| 15120 | ||||||||||||||
| 2 | 7560 | |||||||||||||
| 2 | 3780 | |||||||||||||
| 2 | 1890 | |||||||||||||
| 2 | 945 | |||||||||||||
| 3 | 315 | |||||||||||||
| 3 | 105 | |||||||||||||
| 3 | 35 | |||||||||||||
| 5 | 7 | |||||||||||||
15120 = 2 x 7560
7560 = 2 x 3780
3780 = 2 x 1890
1890 = 2 x 945
945 = 3 x 315
315 = 3 x 105
105 = 3 x 35
35 = 5 x 7
If we write into multiples it would be 15120 x 2
On splitting 7560 further and writing it as multiples of numbers it would be 3780 x 2.
On splitting 3780 further and writing it as multiples of numbers it would be 1890 x 2.
On splitting 1890 further and writing it as multiples of numbers it would be 945 x 2.
On splitting 945 further and writing it as multiples of numbers it would be 315 x 3.
On splitting 315 further and writing it as multiples of numbers it would be 105 x 3.
On splitting 105 further and writing it as multiples of numbers it would be 35 x 3.
On splitting 35 further and writing it as multiples of numbers it would be 7 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 15120. 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 15120. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 as it results in 15120 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 15120 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 3, 3, 5, 7 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 15120 ?
Answer: Prime Factors of 15120 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7.
2. What are the Prime Factors of 15120 ?
Answer: Prime Factors of 15120 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7.