Given number is 8424
The factor tree of 8424 is as follows:
| 8424 | |||||||||||||
| 2 | 4212 | ||||||||||||
| 2 | 2106 | ||||||||||||
| 2 | 1053 | ||||||||||||
| 3 | 351 | ||||||||||||
| 3 | 117 | ||||||||||||
| 3 | 39 | ||||||||||||
| 3 | 13 | ||||||||||||
8424 = 2 x 4212
4212 = 2 x 2106
2106 = 2 x 1053
1053 = 3 x 351
351 = 3 x 117
117 = 3 x 39
39 = 3 x 13
If we write into multiples it would be 8424 x 2
On splitting 4212 further and writing it as multiples of numbers it would be 2106 x 2.
On splitting 2106 further and writing it as multiples of numbers it would be 1053 x 2.
On splitting 1053 further and writing it as multiples of numbers it would be 351 x 3.
On splitting 351 further and writing it as multiples of numbers it would be 117 x 3.
On splitting 117 further and writing it as multiples of numbers it would be 39 x 3.
On splitting 39 further and writing it as multiples of numbers it would be 13 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 8424. 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 8424. Let’s start with 2 x 2 x 2 x 3 x 3 x 3 x 3 x 13 as it results in 8424 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 8424 now and we can write as 2 x 2 x 2 x 3 x 3 x 3 x 3 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 3, 3, 13 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 8424 ?
Answer: Prime Factors of 8424 are 2 x 2 x 2 x 3 x 3 x 3 x 3 x 13.
2. What are the Prime Factors of 8424 ?
Answer: Prime Factors of 8424 are 2 x 2 x 2 x 3 x 3 x 3 x 3 x 13.