Given number is 5304
The factor tree of 5304 is as follows:
| 5304 | |||||||||||
| 2 | 2652 | ||||||||||
| 2 | 1326 | ||||||||||
| 2 | 663 | ||||||||||
| 3 | 221 | ||||||||||
| 13 | 17 | ||||||||||
5304 = 2 x 2652
2652 = 2 x 1326
1326 = 2 x 663
663 = 3 x 221
221 = 13 x 17
If we write into multiples it would be 5304 x 2
On splitting 2652 further and writing it as multiples of numbers it would be 1326 x 2.
On splitting 1326 further and writing it as multiples of numbers it would be 663 x 2.
On splitting 663 further and writing it as multiples of numbers it would be 221 x 3.
On splitting 221 further and writing it as multiples of numbers it would be 17 x 13.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 5304. 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 5304. Let’s start with 2 x 2 x 2 x 3 x 13 x 17 as it results in 5304 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 5304 now and we can write as 2 x 2 x 2 x 3 x 13 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 13, 17 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 5304 ?
Answer: Prime Factors of 5304 are 2 x 2 x 2 x 3 x 13 x 17.
2. What are the Prime Factors of 5304 ?
Answer: Prime Factors of 5304 are 2 x 2 x 2 x 3 x 13 x 17.