Given number is 3900
The factor tree of 3900 is as follows:
| 3900 | |||||||||||
| 2 | 1950 | ||||||||||
| 2 | 975 | ||||||||||
| 3 | 325 | ||||||||||
| 5 | 65 | ||||||||||
| 5 | 13 | ||||||||||
3900 = 2 x 1950
1950 = 2 x 975
975 = 3 x 325
325 = 5 x 65
65 = 5 x 13
If we write into multiples it would be 3900 x 2
On splitting 1950 further and writing it as multiples of numbers it would be 975 x 2.
On splitting 975 further and writing it as multiples of numbers it would be 325 x 3.
On splitting 325 further and writing it as multiples of numbers it would be 65 x 5.
On splitting 65 further and writing it as multiples of numbers it would be 13 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 3900. 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 3900. Let’s start with 2 x 2 x 3 x 5 x 5 x 13 as it results in 3900 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 3900 now and we can write as 2 x 2 x 3 x 5 x 5 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 5, 5, 13 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 3900 ?
Answer: Prime Factors of 3900 are 2 x 2 x 3 x 5 x 5 x 13.
2. What are the Prime Factors of 3900 ?
Answer: Prime Factors of 3900 are 2 x 2 x 3 x 5 x 5 x 13.