Given number is 125120
The factor tree of 125120 is as follows:
| 125120 | ||||||||||||||
| 2 | 62560 | |||||||||||||
| 2 | 31280 | |||||||||||||
| 2 | 15640 | |||||||||||||
| 2 | 7820 | |||||||||||||
| 2 | 3910 | |||||||||||||
| 2 | 1955 | |||||||||||||
| 5 | 391 | |||||||||||||
| 17 | 23 | |||||||||||||
125120 = 2 x 62560
62560 = 2 x 31280
31280 = 2 x 15640
15640 = 2 x 7820
7820 = 2 x 3910
3910 = 2 x 1955
1955 = 5 x 391
391 = 17 x 23
If we write into multiples it would be 125120 x 2
On splitting 62560 further and writing it as multiples of numbers it would be 31280 x 2.
On splitting 31280 further and writing it as multiples of numbers it would be 15640 x 2.
On splitting 15640 further and writing it as multiples of numbers it would be 7820 x 2.
On splitting 7820 further and writing it as multiples of numbers it would be 3910 x 2.
On splitting 3910 further and writing it as multiples of numbers it would be 1955 x 2.
On splitting 1955 further and writing it as multiples of numbers it would be 391 x 5.
On splitting 391 further and writing it as multiples of numbers it would be 23 x 17.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 125120. 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 125120. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17 x 23 as it results in 125120 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 125120 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17 x 23 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 5, 17, 23 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 125120 ?
Answer: Prime Factors of 125120 are 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17 x 23.
2. What are the Prime Factors of 125120 ?
Answer: Prime Factors of 125120 are 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17 x 23.