Given number is 31152
The factor tree of 31152 is as follows:
| 31152 | ||||||||||||
| 2 | 15576 | |||||||||||
| 2 | 7788 | |||||||||||
| 2 | 3894 | |||||||||||
| 2 | 1947 | |||||||||||
| 3 | 649 | |||||||||||
| 11 | 59 | |||||||||||
31152 = 2 x 15576
15576 = 2 x 7788
7788 = 2 x 3894
3894 = 2 x 1947
1947 = 3 x 649
649 = 11 x 59
If we write into multiples it would be 31152 x 2
On splitting 15576 further and writing it as multiples of numbers it would be 7788 x 2.
On splitting 7788 further and writing it as multiples of numbers it would be 3894 x 2.
On splitting 3894 further and writing it as multiples of numbers it would be 1947 x 2.
On splitting 1947 further and writing it as multiples of numbers it would be 649 x 3.
On splitting 649 further and writing it as multiples of numbers it would be 59 x 11.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 31152. 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 31152. Let’s start with 2 x 2 x 2 x 2 x 3 x 11 x 59 as it results in 31152 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 31152 now and we can write as 2 x 2 x 2 x 2 x 3 x 11 x 59 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 11, 59 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 31152 ?
Answer: Prime Factors of 31152 are 2 x 2 x 2 x 2 x 3 x 11 x 59.
2. What are the Prime Factors of 31152 ?
Answer: Prime Factors of 31152 are 2 x 2 x 2 x 2 x 3 x 11 x 59.