Given number is 3504
The factor tree of 3504 is as follows:
| 3504 | |||||||||||
| 2 | 1752 | ||||||||||
| 2 | 876 | ||||||||||
| 2 | 438 | ||||||||||
| 2 | 219 | ||||||||||
| 3 | 73 | ||||||||||
3504 = 2 x 1752
1752 = 2 x 876
876 = 2 x 438
438 = 2 x 219
219 = 3 x 73
If we write into multiples it would be 3504 x 2
On splitting 1752 further and writing it as multiples of numbers it would be 876 x 2.
On splitting 876 further and writing it as multiples of numbers it would be 438 x 2.
On splitting 438 further and writing it as multiples of numbers it would be 219 x 2.
On splitting 219 further and writing it as multiples of numbers it would be 73 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 3504. 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 3504. Let’s start with 2 x 2 x 2 x 2 x 3 x 73 as it results in 3504 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 3504 now and we can write as 2 x 2 x 2 x 2 x 3 x 73 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 73 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 3504 ?
Answer: Prime Factors of 3504 are 2 x 2 x 2 x 2 x 3 x 73.
2. What are the Prime Factors of 3504 ?
Answer: Prime Factors of 3504 are 2 x 2 x 2 x 2 x 3 x 73.