Given number is 6656
The factor tree of 6656 is as follows:
| 6656 | |||||||||||||||
| 2 | 3328 | ||||||||||||||
| 2 | 1664 | ||||||||||||||
| 2 | 832 | ||||||||||||||
| 2 | 416 | ||||||||||||||
| 2 | 208 | ||||||||||||||
| 2 | 104 | ||||||||||||||
| 2 | 52 | ||||||||||||||
| 2 | 26 | ||||||||||||||
| 2 | 13 | ||||||||||||||
6656 = 2 x 3328
3328 = 2 x 1664
1664 = 2 x 832
832 = 2 x 416
416 = 2 x 208
208 = 2 x 104
104 = 2 x 52
52 = 2 x 26
26 = 2 x 13
If we write into multiples it would be 6656 x 2
On splitting 3328 further and writing it as multiples of numbers it would be 1664 x 2.
On splitting 1664 further and writing it as multiples of numbers it would be 832 x 2.
On splitting 832 further and writing it as multiples of numbers it would be 416 x 2.
On splitting 416 further and writing it as multiples of numbers it would be 208 x 2.
On splitting 208 further and writing it as multiples of numbers it would be 104 x 2.
On splitting 104 further and writing it as multiples of numbers it would be 52 x 2.
On splitting 52 further and writing it as multiples of numbers it would be 26 x 2.
On splitting 26 further and writing it as multiples of numbers it would be 13 x 2.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 6656. 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 6656. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 as it results in 6656 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 6656 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 2, 2, 2, 13 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 6656 ?
Answer: Prime Factors of 6656 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13.
2. What are the Prime Factors of 6656 ?
Answer: Prime Factors of 6656 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13.