Given number is 42312
The factor tree of 42312 is as follows:
| 42312 | |||||||||||
| 2 | 21156 | ||||||||||
| 2 | 10578 | ||||||||||
| 2 | 5289 | ||||||||||
| 3 | 1763 | ||||||||||
| 41 | 43 | ||||||||||
42312 = 2 x 21156
21156 = 2 x 10578
10578 = 2 x 5289
5289 = 3 x 1763
1763 = 41 x 43
If we write into multiples it would be 42312 x 2
On splitting 21156 further and writing it as multiples of numbers it would be 10578 x 2.
On splitting 10578 further and writing it as multiples of numbers it would be 5289 x 2.
On splitting 5289 further and writing it as multiples of numbers it would be 1763 x 3.
On splitting 1763 further and writing it as multiples of numbers it would be 43 x 41.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 42312. 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 42312. Let’s start with 2 x 2 x 2 x 3 x 41 x 43 as it results in 42312 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 42312 now and we can write as 2 x 2 x 2 x 3 x 41 x 43 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 41, 43 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 42312 ?
Answer: Prime Factors of 42312 are 2 x 2 x 2 x 3 x 41 x 43.
2. What are the Prime Factors of 42312 ?
Answer: Prime Factors of 42312 are 2 x 2 x 2 x 3 x 41 x 43.