Given number is 72072
The factor tree of 72072 is as follows:
| 72072 | |||||||||||||
| 2 | 36036 | ||||||||||||
| 2 | 18018 | ||||||||||||
| 2 | 9009 | ||||||||||||
| 3 | 3003 | ||||||||||||
| 3 | 1001 | ||||||||||||
| 7 | 143 | ||||||||||||
| 11 | 13 | ||||||||||||
72072 = 2 x 36036
36036 = 2 x 18018
18018 = 2 x 9009
9009 = 3 x 3003
3003 = 3 x 1001
1001 = 7 x 143
143 = 11 x 13
If we write into multiples it would be 72072 x 2
On splitting 36036 further and writing it as multiples of numbers it would be 18018 x 2.
On splitting 18018 further and writing it as multiples of numbers it would be 9009 x 2.
On splitting 9009 further and writing it as multiples of numbers it would be 3003 x 3.
On splitting 3003 further and writing it as multiples of numbers it would be 1001 x 3.
On splitting 1001 further and writing it as multiples of numbers it would be 143 x 7.
On splitting 143 further and writing it as multiples of numbers it would be 13 x 11.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 72072. 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 72072. Let’s start with 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13 as it results in 72072 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 72072 now and we can write as 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 7, 11, 13 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 72072 ?
Answer: Prime Factors of 72072 are 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13.
2. What are the Prime Factors of 72072 ?
Answer: Prime Factors of 72072 are 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13.