Given number is 13365
The factor tree of 13365 is as follows:
| 13365 | ||||||||||||
| 3 | 4455 | |||||||||||
| 3 | 1485 | |||||||||||
| 3 | 495 | |||||||||||
| 3 | 165 | |||||||||||
| 3 | 55 | |||||||||||
| 5 | 11 | |||||||||||
13365 = 3 x 4455
4455 = 3 x 1485
1485 = 3 x 495
495 = 3 x 165
165 = 3 x 55
55 = 5 x 11
If we write into multiples it would be 13365 x 3
On splitting 4455 further and writing it as multiples of numbers it would be 1485 x 3.
On splitting 1485 further and writing it as multiples of numbers it would be 495 x 3.
On splitting 495 further and writing it as multiples of numbers it would be 165 x 3.
On splitting 165 further and writing it as multiples of numbers it would be 55 x 3.
On splitting 55 further and writing it as multiples of numbers it would be 11 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 13365. 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 13365. Let’s start with 3 x 3 x 3 x 3 x 3 x 5 x 11 as it results in 13365 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 13365 now and we can write as 3 x 3 x 3 x 3 x 3 x 5 x 11 and place those factors on the tree. similarly to prime numbers obtained in the first step 3, 3, 3, 3, 3, 5, 11 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 13365 ?
Answer: Prime Factors of 13365 are 3 x 3 x 3 x 3 x 3 x 5 x 11.
2. What are the Prime Factors of 13365 ?
Answer: Prime Factors of 13365 are 3 x 3 x 3 x 3 x 3 x 5 x 11.