Given number is 11200
The factor tree of 11200 is as follows:
| 11200 | ||||||||||||||
| 2 | 5600 | |||||||||||||
| 2 | 2800 | |||||||||||||
| 2 | 1400 | |||||||||||||
| 2 | 700 | |||||||||||||
| 2 | 350 | |||||||||||||
| 2 | 175 | |||||||||||||
| 5 | 35 | |||||||||||||
| 5 | 7 | |||||||||||||
11200 = 2 x 5600
5600 = 2 x 2800
2800 = 2 x 1400
1400 = 2 x 700
700 = 2 x 350
350 = 2 x 175
175 = 5 x 35
35 = 5 x 7
If we write into multiples it would be 11200 x 2
On splitting 5600 further and writing it as multiples of numbers it would be 2800 x 2.
On splitting 2800 further and writing it as multiples of numbers it would be 1400 x 2.
On splitting 1400 further and writing it as multiples of numbers it would be 700 x 2.
On splitting 700 further and writing it as multiples of numbers it would be 350 x 2.
On splitting 350 further and writing it as multiples of numbers it would be 175 x 2.
On splitting 175 further and writing it as multiples of numbers it would be 35 x 5.
On splitting 35 further and writing it as multiples of numbers it would be 7 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 11200. 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 11200. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 as it results in 11200 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 11200 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 5, 5, 7 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 11200 ?
Answer: Prime Factors of 11200 are 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7.
2. What are the Prime Factors of 11200 ?
Answer: Prime Factors of 11200 are 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7.