Given number is 6072
The factor tree of 6072 is as follows:
| 6072 | |||||||||||
| 2 | 3036 | ||||||||||
| 2 | 1518 | ||||||||||
| 2 | 759 | ||||||||||
| 3 | 253 | ||||||||||
| 11 | 23 | ||||||||||
6072 = 2 x 3036
3036 = 2 x 1518
1518 = 2 x 759
759 = 3 x 253
253 = 11 x 23
If we write into multiples it would be 6072 x 2
On splitting 3036 further and writing it as multiples of numbers it would be 1518 x 2.
On splitting 1518 further and writing it as multiples of numbers it would be 759 x 2.
On splitting 759 further and writing it as multiples of numbers it would be 253 x 3.
On splitting 253 further and writing it as multiples of numbers it would be 23 x 11.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 6072. 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 6072. Let’s start with 2 x 2 x 2 x 3 x 11 x 23 as it results in 6072 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 6072 now and we can write as 2 x 2 x 2 x 3 x 11 x 23 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 11, 23 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 6072 ?
Answer: Prime Factors of 6072 are 2 x 2 x 2 x 3 x 11 x 23.
2. What are the Prime Factors of 6072 ?
Answer: Prime Factors of 6072 are 2 x 2 x 2 x 3 x 11 x 23.