Given number is 5952
The factor tree of 5952 is as follows:
| 5952 | |||||||||||||
| 2 | 2976 | ||||||||||||
| 2 | 1488 | ||||||||||||
| 2 | 744 | ||||||||||||
| 2 | 372 | ||||||||||||
| 2 | 186 | ||||||||||||
| 2 | 93 | ||||||||||||
| 3 | 31 | ||||||||||||
5952 = 2 x 2976
2976 = 2 x 1488
1488 = 2 x 744
744 = 2 x 372
372 = 2 x 186
186 = 2 x 93
93 = 3 x 31
If we write into multiples it would be 5952 x 2
On splitting 2976 further and writing it as multiples of numbers it would be 1488 x 2.
On splitting 1488 further and writing it as multiples of numbers it would be 744 x 2.
On splitting 744 further and writing it as multiples of numbers it would be 372 x 2.
On splitting 372 further and writing it as multiples of numbers it would be 186 x 2.
On splitting 186 further and writing it as multiples of numbers it would be 93 x 2.
On splitting 93 further and writing it as multiples of numbers it would be 31 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 5952. 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 5952. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31 as it results in 5952 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 5952 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 31 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 5952 ?
Answer: Prime Factors of 5952 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31.
2. What are the Prime Factors of 5952 ?
Answer: Prime Factors of 5952 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31.