Given number is 120064
The factor tree of 120064 is as follows:
| 120064 | |||||||||||||||
| 2 | 60032 | ||||||||||||||
| 2 | 30016 | ||||||||||||||
| 2 | 15008 | ||||||||||||||
| 2 | 7504 | ||||||||||||||
| 2 | 3752 | ||||||||||||||
| 2 | 1876 | ||||||||||||||
| 2 | 938 | ||||||||||||||
| 2 | 469 | ||||||||||||||
| 7 | 67 | ||||||||||||||
120064 = 2 x 60032
60032 = 2 x 30016
30016 = 2 x 15008
15008 = 2 x 7504
7504 = 2 x 3752
3752 = 2 x 1876
1876 = 2 x 938
938 = 2 x 469
469 = 7 x 67
If we write into multiples it would be 120064 x 2
On splitting 60032 further and writing it as multiples of numbers it would be 30016 x 2.
On splitting 30016 further and writing it as multiples of numbers it would be 15008 x 2.
On splitting 15008 further and writing it as multiples of numbers it would be 7504 x 2.
On splitting 7504 further and writing it as multiples of numbers it would be 3752 x 2.
On splitting 3752 further and writing it as multiples of numbers it would be 1876 x 2.
On splitting 1876 further and writing it as multiples of numbers it would be 938 x 2.
On splitting 938 further and writing it as multiples of numbers it would be 469 x 2.
On splitting 469 further and writing it as multiples of numbers it would be 67 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 120064. 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 120064. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 67 as it results in 120064 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 120064 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 67 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 2, 2, 7, 67 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 120064 ?
Answer: Prime Factors of 120064 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 67.
2. What are the Prime Factors of 120064 ?
Answer: Prime Factors of 120064 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 67.