Given number is 42400
The factor tree of 42400 is as follows:
| 42400 | |||||||||||||
| 2 | 21200 | ||||||||||||
| 2 | 10600 | ||||||||||||
| 2 | 5300 | ||||||||||||
| 2 | 2650 | ||||||||||||
| 2 | 1325 | ||||||||||||
| 5 | 265 | ||||||||||||
| 5 | 53 | ||||||||||||
42400 = 2 x 21200
21200 = 2 x 10600
10600 = 2 x 5300
5300 = 2 x 2650
2650 = 2 x 1325
1325 = 5 x 265
265 = 5 x 53
If we write into multiples it would be 42400 x 2
On splitting 21200 further and writing it as multiples of numbers it would be 10600 x 2.
On splitting 10600 further and writing it as multiples of numbers it would be 5300 x 2.
On splitting 5300 further and writing it as multiples of numbers it would be 2650 x 2.
On splitting 2650 further and writing it as multiples of numbers it would be 1325 x 2.
On splitting 1325 further and writing it as multiples of numbers it would be 265 x 5.
On splitting 265 further and writing it as multiples of numbers it would be 53 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 42400. 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 42400. Let’s start with 2 x 2 x 2 x 2 x 2 x 5 x 5 x 53 as it results in 42400 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 42400 now and we can write as 2 x 2 x 2 x 2 x 2 x 5 x 5 x 53 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 5, 5, 53 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 42400 ?
Answer: Prime Factors of 42400 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 53.
2. What are the Prime Factors of 42400 ?
Answer: Prime Factors of 42400 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 53.