Given number is 10404
The factor tree of 10404 is as follows:
| 10404 | |||||||||||
| 2 | 5202 | ||||||||||
| 2 | 2601 | ||||||||||
| 3 | 867 | ||||||||||
| 3 | 289 | ||||||||||
| 17 | 17 | ||||||||||
10404 = 2 x 5202
5202 = 2 x 2601
2601 = 3 x 867
867 = 3 x 289
289 = 17 x 17
If we write into multiples it would be 10404 x 2
On splitting 5202 further and writing it as multiples of numbers it would be 2601 x 2.
On splitting 2601 further and writing it as multiples of numbers it would be 867 x 3.
On splitting 867 further and writing it as multiples of numbers it would be 289 x 3.
On splitting 289 further and writing it as multiples of numbers it would be 17 x 17.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 10404. 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 10404. Let’s start with 2 x 2 x 3 x 3 x 17 x 17 as it results in 10404 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 10404 now and we can write as 2 x 2 x 3 x 3 x 17 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 17, 17 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 10404 ?
Answer: Prime Factors of 10404 are 2 x 2 x 3 x 3 x 17 x 17.
2. What are the Prime Factors of 10404 ?
Answer: Prime Factors of 10404 are 2 x 2 x 3 x 3 x 17 x 17.