Given number is 165375
The factor tree of 165375 is as follows:
| 165375 | |||||||||||||
| 3 | 55125 | ||||||||||||
| 3 | 18375 | ||||||||||||
| 3 | 6125 | ||||||||||||
| 5 | 1225 | ||||||||||||
| 5 | 245 | ||||||||||||
| 5 | 49 | ||||||||||||
| 7 | 7 | ||||||||||||
165375 = 3 x 55125
55125 = 3 x 18375
18375 = 3 x 6125
6125 = 5 x 1225
1225 = 5 x 245
245 = 5 x 49
49 = 7 x 7
If we write into multiples it would be 165375 x 3
On splitting 55125 further and writing it as multiples of numbers it would be 18375 x 3.
On splitting 18375 further and writing it as multiples of numbers it would be 6125 x 3.
On splitting 6125 further and writing it as multiples of numbers it would be 1225 x 5.
On splitting 1225 further and writing it as multiples of numbers it would be 245 x 5.
On splitting 245 further and writing it as multiples of numbers it would be 49 x 5.
On splitting 49 further and writing it as multiples of numbers it would be 7 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 165375. 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 165375. Let’s start with 3 x 3 x 3 x 5 x 5 x 5 x 7 x 7 as it results in 165375 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 165375 now and we can write as 3 x 3 x 3 x 5 x 5 x 5 x 7 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 3, 3, 3, 5, 5, 5, 7, 7 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 165375 ?
Answer: Prime Factors of 165375 are 3 x 3 x 3 x 5 x 5 x 5 x 7 x 7.
2. What are the Prime Factors of 165375 ?
Answer: Prime Factors of 165375 are 3 x 3 x 3 x 5 x 5 x 5 x 7 x 7.