Given number is 3360
The factor tree of 3360 is as follows:
| 3360 | |||||||||||||
| 2 | 1680 | ||||||||||||
| 2 | 840 | ||||||||||||
| 2 | 420 | ||||||||||||
| 2 | 210 | ||||||||||||
| 2 | 105 | ||||||||||||
| 3 | 35 | ||||||||||||
| 5 | 7 | ||||||||||||
3360 = 2 x 1680
1680 = 2 x 840
840 = 2 x 420
420 = 2 x 210
210 = 2 x 105
105 = 3 x 35
35 = 5 x 7
If we write into multiples it would be 3360 x 2
On splitting 1680 further and writing it as multiples of numbers it would be 840 x 2.
On splitting 840 further and writing it as multiples of numbers it would be 420 x 2.
On splitting 420 further and writing it as multiples of numbers it would be 210 x 2.
On splitting 210 further and writing it as multiples of numbers it would be 105 x 2.
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 3360. 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 3360. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 as it results in 3360 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 3360 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 5, 7 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 3360 ?
Answer: Prime Factors of 3360 are 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7.
2. What are the Prime Factors of 3360 ?
Answer: Prime Factors of 3360 are 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7.