Given number is 42112
The factor tree of 42112 is as follows:
| 42112 | ||||||||||||||
| 2 | 21056 | |||||||||||||
| 2 | 10528 | |||||||||||||
| 2 | 5264 | |||||||||||||
| 2 | 2632 | |||||||||||||
| 2 | 1316 | |||||||||||||
| 2 | 658 | |||||||||||||
| 2 | 329 | |||||||||||||
| 7 | 47 | |||||||||||||
42112 = 2 x 21056
21056 = 2 x 10528
10528 = 2 x 5264
5264 = 2 x 2632
2632 = 2 x 1316
1316 = 2 x 658
658 = 2 x 329
329 = 7 x 47
If we write into multiples it would be 42112 x 2
On splitting 21056 further and writing it as multiples of numbers it would be 10528 x 2.
On splitting 10528 further and writing it as multiples of numbers it would be 5264 x 2.
On splitting 5264 further and writing it as multiples of numbers it would be 2632 x 2.
On splitting 2632 further and writing it as multiples of numbers it would be 1316 x 2.
On splitting 1316 further and writing it as multiples of numbers it would be 658 x 2.
On splitting 658 further and writing it as multiples of numbers it would be 329 x 2.
On splitting 329 further and writing it as multiples of numbers it would be 47 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 42112. 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 42112. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 47 as it results in 42112 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 42112 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 47 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 2, 7, 47 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 42112 ?
Answer: Prime Factors of 42112 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 47.
2. What are the Prime Factors of 42112 ?
Answer: Prime Factors of 42112 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 47.