Given number is 42304
The factor tree of 42304 is as follows:
| 42304 | ||||||||||||
| 2 | 21152 | |||||||||||
| 2 | 10576 | |||||||||||
| 2 | 5288 | |||||||||||
| 2 | 2644 | |||||||||||
| 2 | 1322 | |||||||||||
| 2 | 661 | |||||||||||
42304 = 2 x 21152
21152 = 2 x 10576
10576 = 2 x 5288
5288 = 2 x 2644
2644 = 2 x 1322
1322 = 2 x 661
If we write into multiples it would be 42304 x 2
On splitting 21152 further and writing it as multiples of numbers it would be 10576 x 2.
On splitting 10576 further and writing it as multiples of numbers it would be 5288 x 2.
On splitting 5288 further and writing it as multiples of numbers it would be 2644 x 2.
On splitting 2644 further and writing it as multiples of numbers it would be 1322 x 2.
On splitting 1322 further and writing it as multiples of numbers it would be 661 x 2.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 42304. 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 42304. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 661 as it results in 42304 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 42304 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 661 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 661 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 42304 ?
Answer: Prime Factors of 42304 are 2 x 2 x 2 x 2 x 2 x 2 x 661.
2. What are the Prime Factors of 42304 ?
Answer: Prime Factors of 42304 are 2 x 2 x 2 x 2 x 2 x 2 x 661.