Given number is 7264
The factor tree of 7264 is as follows:
| 7264 | |||||||||||
| 2 | 3632 | ||||||||||
| 2 | 1816 | ||||||||||
| 2 | 908 | ||||||||||
| 2 | 454 | ||||||||||
| 2 | 227 | ||||||||||
7264 = 2 x 3632
3632 = 2 x 1816
1816 = 2 x 908
908 = 2 x 454
454 = 2 x 227
If we write into multiples it would be 7264 x 2
On splitting 3632 further and writing it as multiples of numbers it would be 1816 x 2.
On splitting 1816 further and writing it as multiples of numbers it would be 908 x 2.
On splitting 908 further and writing it as multiples of numbers it would be 454 x 2.
On splitting 454 further and writing it as multiples of numbers it would be 227 x 2.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 7264. 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 7264. Let’s start with 2 x 2 x 2 x 2 x 2 x 227 as it results in 7264 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 7264 now and we can write as 2 x 2 x 2 x 2 x 2 x 227 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 227 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 7264 ?
Answer: Prime Factors of 7264 are 2 x 2 x 2 x 2 x 2 x 227.
2. What are the Prime Factors of 7264 ?
Answer: Prime Factors of 7264 are 2 x 2 x 2 x 2 x 2 x 227.