Given number is 5712
The factor tree of 5712 is as follows:
| 5712 | ||||||||||||
| 2 | 2856 | |||||||||||
| 2 | 1428 | |||||||||||
| 2 | 714 | |||||||||||
| 2 | 357 | |||||||||||
| 3 | 119 | |||||||||||
| 7 | 17 | |||||||||||
5712 = 2 x 2856
2856 = 2 x 1428
1428 = 2 x 714
714 = 2 x 357
357 = 3 x 119
119 = 7 x 17
If we write into multiples it would be 5712 x 2
On splitting 2856 further and writing it as multiples of numbers it would be 1428 x 2.
On splitting 1428 further and writing it as multiples of numbers it would be 714 x 2.
On splitting 714 further and writing it as multiples of numbers it would be 357 x 2.
On splitting 357 further and writing it as multiples of numbers it would be 119 x 3.
On splitting 119 further and writing it as multiples of numbers it would be 17 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 5712. 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 5712. Let’s start with 2 x 2 x 2 x 2 x 3 x 7 x 17 as it results in 5712 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 5712 now and we can write as 2 x 2 x 2 x 2 x 3 x 7 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 7, 17 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 5712 ?
Answer: Prime Factors of 5712 are 2 x 2 x 2 x 2 x 3 x 7 x 17.
2. What are the Prime Factors of 5712 ?
Answer: Prime Factors of 5712 are 2 x 2 x 2 x 2 x 3 x 7 x 17.