Given number is 180252
The factor tree of 180252 is as follows:
| 180252 | |||||||||||
| 2 | 90126 | ||||||||||
| 2 | 45063 | ||||||||||
| 3 | 15021 | ||||||||||
| 3 | 5007 | ||||||||||
| 3 | 1669 | ||||||||||
180252 = 2 x 90126
90126 = 2 x 45063
45063 = 3 x 15021
15021 = 3 x 5007
5007 = 3 x 1669
If we write into multiples it would be 180252 x 2
On splitting 90126 further and writing it as multiples of numbers it would be 45063 x 2.
On splitting 45063 further and writing it as multiples of numbers it would be 15021 x 3.
On splitting 15021 further and writing it as multiples of numbers it would be 5007 x 3.
On splitting 5007 further and writing it as multiples of numbers it would be 1669 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 180252. 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 180252. Let’s start with 2 x 2 x 3 x 3 x 3 x 1669 as it results in 180252 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 180252 now and we can write as 2 x 2 x 3 x 3 x 3 x 1669 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 3, 1669 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 180252 ?
Answer: Prime Factors of 180252 are 2 x 2 x 3 x 3 x 3 x 1669.
2. What are the Prime Factors of 180252 ?
Answer: Prime Factors of 180252 are 2 x 2 x 3 x 3 x 3 x 1669.