Given number is 8505
The factor tree of 8505 is as follows:
| 8505 | ||||||||||||
| 3 | 2835 | |||||||||||
| 3 | 945 | |||||||||||
| 3 | 315 | |||||||||||
| 3 | 105 | |||||||||||
| 3 | 35 | |||||||||||
| 5 | 7 | |||||||||||
8505 = 3 x 2835
2835 = 3 x 945
945 = 3 x 315
315 = 3 x 105
105 = 3 x 35
35 = 5 x 7
If we write into multiples it would be 8505 x 3
On splitting 2835 further and writing it as multiples of numbers it would be 945 x 3.
On splitting 945 further and writing it as multiples of numbers it would be 315 x 3.
On splitting 315 further and writing it as multiples of numbers it would be 105 x 3.
On splitting 105 further and writing it as multiples of numbers it would be 35 x 3.
On splitting 35 further and writing it as multiples of numbers it would be 7 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 8505. 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 8505. Let’s start with 3 x 3 x 3 x 3 x 3 x 5 x 7 as it results in 8505 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 8505 now and we can write as 3 x 3 x 3 x 3 x 3 x 5 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 3, 3, 3, 3, 3, 5, 7 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 8505 ?
Answer: Prime Factors of 8505 are 3 x 3 x 3 x 3 x 3 x 5 x 7.
2. What are the Prime Factors of 8505 ?
Answer: Prime Factors of 8505 are 3 x 3 x 3 x 3 x 3 x 5 x 7.