Given number is 7904
The factor tree of 7904 is as follows:
| 7904 | ||||||||||||
| 2 | 3952 | |||||||||||
| 2 | 1976 | |||||||||||
| 2 | 988 | |||||||||||
| 2 | 494 | |||||||||||
| 2 | 247 | |||||||||||
| 13 | 19 | |||||||||||
7904 = 2 x 3952
3952 = 2 x 1976
1976 = 2 x 988
988 = 2 x 494
494 = 2 x 247
247 = 13 x 19
If we write into multiples it would be 7904 x 2
On splitting 3952 further and writing it as multiples of numbers it would be 1976 x 2.
On splitting 1976 further and writing it as multiples of numbers it would be 988 x 2.
On splitting 988 further and writing it as multiples of numbers it would be 494 x 2.
On splitting 494 further and writing it as multiples of numbers it would be 247 x 2.
On splitting 247 further and writing it as multiples of numbers it would be 19 x 13.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 7904. 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 7904. Let’s start with 2 x 2 x 2 x 2 x 2 x 13 x 19 as it results in 7904 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 7904 now and we can write as 2 x 2 x 2 x 2 x 2 x 13 x 19 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 13, 19 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 7904 ?
Answer: Prime Factors of 7904 are 2 x 2 x 2 x 2 x 2 x 13 x 19.
2. What are the Prime Factors of 7904 ?
Answer: Prime Factors of 7904 are 2 x 2 x 2 x 2 x 2 x 13 x 19.