Given number is 7072
The factor tree of 7072 is as follows:
| 7072 | ||||||||||||
| 2 | 3536 | |||||||||||
| 2 | 1768 | |||||||||||
| 2 | 884 | |||||||||||
| 2 | 442 | |||||||||||
| 2 | 221 | |||||||||||
| 13 | 17 | |||||||||||
7072 = 2 x 3536
3536 = 2 x 1768
1768 = 2 x 884
884 = 2 x 442
442 = 2 x 221
221 = 13 x 17
If we write into multiples it would be 7072 x 2
On splitting 3536 further and writing it as multiples of numbers it would be 1768 x 2.
On splitting 1768 further and writing it as multiples of numbers it would be 884 x 2.
On splitting 884 further and writing it as multiples of numbers it would be 442 x 2.
On splitting 442 further and writing it as multiples of numbers it would be 221 x 2.
On splitting 221 further and writing it as multiples of numbers it would be 17 x 13.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 7072. 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 7072. Let’s start with 2 x 2 x 2 x 2 x 2 x 13 x 17 as it results in 7072 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 7072 now and we can write as 2 x 2 x 2 x 2 x 2 x 13 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 13, 17 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 7072 ?
Answer: Prime Factors of 7072 are 2 x 2 x 2 x 2 x 2 x 13 x 17.
2. What are the Prime Factors of 7072 ?
Answer: Prime Factors of 7072 are 2 x 2 x 2 x 2 x 2 x 13 x 17.