Given number is 35100
The factor tree of 35100 is as follows:
| 35100 | |||||||||||||
| 2 | 17550 | ||||||||||||
| 2 | 8775 | ||||||||||||
| 3 | 2925 | ||||||||||||
| 3 | 975 | ||||||||||||
| 3 | 325 | ||||||||||||
| 5 | 65 | ||||||||||||
| 5 | 13 | ||||||||||||
35100 = 2 x 17550
17550 = 2 x 8775
8775 = 3 x 2925
2925 = 3 x 975
975 = 3 x 325
325 = 5 x 65
65 = 5 x 13
If we write into multiples it would be 35100 x 2
On splitting 17550 further and writing it as multiples of numbers it would be 8775 x 2.
On splitting 8775 further and writing it as multiples of numbers it would be 2925 x 3.
On splitting 2925 further and writing it as multiples of numbers it would be 975 x 3.
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 35100. 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 35100. Let’s start with 2 x 2 x 3 x 3 x 3 x 5 x 5 x 13 as it results in 35100 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 35100 now and we can write as 2 x 2 x 3 x 3 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, 3, 3, 5, 5, 13 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 35100 ?
Answer: Prime Factors of 35100 are 2 x 2 x 3 x 3 x 3 x 5 x 5 x 13.
2. What are the Prime Factors of 35100 ?
Answer: Prime Factors of 35100 are 2 x 2 x 3 x 3 x 3 x 5 x 5 x 13.