Given number is 73152
The factor tree of 73152 is as follows:
| 73152 | ||||||||||||||
| 2 | 36576 | |||||||||||||
| 2 | 18288 | |||||||||||||
| 2 | 9144 | |||||||||||||
| 2 | 4572 | |||||||||||||
| 2 | 2286 | |||||||||||||
| 2 | 1143 | |||||||||||||
| 3 | 381 | |||||||||||||
| 3 | 127 | |||||||||||||
73152 = 2 x 36576
36576 = 2 x 18288
18288 = 2 x 9144
9144 = 2 x 4572
4572 = 2 x 2286
2286 = 2 x 1143
1143 = 3 x 381
381 = 3 x 127
If we write into multiples it would be 73152 x 2
On splitting 36576 further and writing it as multiples of numbers it would be 18288 x 2.
On splitting 18288 further and writing it as multiples of numbers it would be 9144 x 2.
On splitting 9144 further and writing it as multiples of numbers it would be 4572 x 2.
On splitting 4572 further and writing it as multiples of numbers it would be 2286 x 2.
On splitting 2286 further and writing it as multiples of numbers it would be 1143 x 2.
On splitting 1143 further and writing it as multiples of numbers it would be 381 x 3.
On splitting 381 further and writing it as multiples of numbers it would be 127 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 73152. 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 73152. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 127 as it results in 73152 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 73152 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 127 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 3, 127 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 73152 ?
Answer: Prime Factors of 73152 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 127.
2. What are the Prime Factors of 73152 ?
Answer: Prime Factors of 73152 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 127.