Given number is 6400
The factor tree of 6400 is as follows:
6400 | |||||||||||||||
2 | 3200 | ||||||||||||||
2 | 1600 | ||||||||||||||
2 | 800 | ||||||||||||||
2 | 400 | ||||||||||||||
2 | 200 | ||||||||||||||
2 | 100 | ||||||||||||||
2 | 50 | ||||||||||||||
2 | 25 | ||||||||||||||
5 | 5 | ||||||||||||||
6400 = 2 x 3200
3200 = 2 x 1600
1600 = 2 x 800
800 = 2 x 400
400 = 2 x 200
200 = 2 x 100
100 = 2 x 50
50 = 2 x 25
25 = 5 x 5
If we write into multiples it would be 6400 x 2
On splitting 3200 further and writing it as multiples of numbers it would be 1600 x 2.
On splitting 1600 further and writing it as multiples of numbers it would be 800 x 2.
On splitting 800 further and writing it as multiples of numbers it would be 400 x 2.
On splitting 400 further and writing it as multiples of numbers it would be 200 x 2.
On splitting 200 further and writing it as multiples of numbers it would be 100 x 2.
On splitting 100 further and writing it as multiples of numbers it would be 50 x 2.
On splitting 50 further and writing it as multiples of numbers it would be 25 x 2.
On splitting 25 further and writing it as multiples of numbers it would be 5 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 6400. 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 6400. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 as it results in 6400 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 6400 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 2, 2, 5, 5 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 6400 ?
Answer: Prime Factors of 6400 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5.
2. What are the Prime Factors of 6400 ?
Answer: Prime Factors of 6400 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5.