Given number is 11400
The factor tree of 11400 is as follows:
| 11400 | ||||||||||||
| 2 | 5700 | |||||||||||
| 2 | 2850 | |||||||||||
| 2 | 1425 | |||||||||||
| 3 | 475 | |||||||||||
| 5 | 95 | |||||||||||
| 5 | 19 | |||||||||||
11400 = 2 x 5700
5700 = 2 x 2850
2850 = 2 x 1425
1425 = 3 x 475
475 = 5 x 95
95 = 5 x 19
If we write into multiples it would be 11400 x 2
On splitting 5700 further and writing it as multiples of numbers it would be 2850 x 2.
On splitting 2850 further and writing it as multiples of numbers it would be 1425 x 2.
On splitting 1425 further and writing it as multiples of numbers it would be 475 x 3.
On splitting 475 further and writing it as multiples of numbers it would be 95 x 5.
On splitting 95 further and writing it as multiples of numbers it would be 19 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 11400. 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 11400. Let’s start with 2 x 2 x 2 x 3 x 5 x 5 x 19 as it results in 11400 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 11400 now and we can write as 2 x 2 x 2 x 3 x 5 x 5 x 19 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 5, 5, 19 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 11400 ?
Answer: Prime Factors of 11400 are 2 x 2 x 2 x 3 x 5 x 5 x 19.
2. What are the Prime Factors of 11400 ?
Answer: Prime Factors of 11400 are 2 x 2 x 2 x 3 x 5 x 5 x 19.