Given number is 5872
The factor tree of 5872 is as follows:
| 5872 | ||||||||||
| 2 | 2936 | |||||||||
| 2 | 1468 | |||||||||
| 2 | 734 | |||||||||
| 2 | 367 | |||||||||
5872 = 2 x 2936
2936 = 2 x 1468
1468 = 2 x 734
734 = 2 x 367
If we write into multiples it would be 5872 x 2
On splitting 2936 further and writing it as multiples of numbers it would be 1468 x 2.
On splitting 1468 further and writing it as multiples of numbers it would be 734 x 2.
On splitting 734 further and writing it as multiples of numbers it would be 367 x 2.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 5872. 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 5872. Let’s start with 2 x 2 x 2 x 2 x 367 as it results in 5872 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 5872 now and we can write as 2 x 2 x 2 x 2 x 367 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 367 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 5872 ?
Answer: Prime Factors of 5872 are 2 x 2 x 2 x 2 x 367.
2. What are the Prime Factors of 5872 ?
Answer: Prime Factors of 5872 are 2 x 2 x 2 x 2 x 367.