Given number is 63072
The factor tree of 63072 is as follows:
| 63072 | ||||||||||||||
| 2 | 31536 | |||||||||||||
| 2 | 15768 | |||||||||||||
| 2 | 7884 | |||||||||||||
| 2 | 3942 | |||||||||||||
| 2 | 1971 | |||||||||||||
| 3 | 657 | |||||||||||||
| 3 | 219 | |||||||||||||
| 3 | 73 | |||||||||||||
63072 = 2 x 31536
31536 = 2 x 15768
15768 = 2 x 7884
7884 = 2 x 3942
3942 = 2 x 1971
1971 = 3 x 657
657 = 3 x 219
219 = 3 x 73
If we write into multiples it would be 63072 x 2
On splitting 31536 further and writing it as multiples of numbers it would be 15768 x 2.
On splitting 15768 further and writing it as multiples of numbers it would be 7884 x 2.
On splitting 7884 further and writing it as multiples of numbers it would be 3942 x 2.
On splitting 3942 further and writing it as multiples of numbers it would be 1971 x 2.
On splitting 1971 further and writing it as multiples of numbers it would be 657 x 3.
On splitting 657 further and writing it as multiples of numbers it would be 219 x 3.
On splitting 219 further and writing it as multiples of numbers it would be 73 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 63072. 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 63072. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 73 as it results in 63072 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 63072 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 73 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 3, 3, 73 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 63072 ?
Answer: Prime Factors of 63072 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 73.
2. What are the Prime Factors of 63072 ?
Answer: Prime Factors of 63072 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 73.