Factor Tree of 3675
How to find the Factor Tree of 3675
Given number is 3675
The factor tree of 3675 is as follows:
| 3675 | ||||||||||
| 3 | 1225 | |||||||||
| 5 | 245 | |||||||||
| 5 | 49 | |||||||||
| 7 | 7 | |||||||||
3675 = 3 x 1225
1225 = 5 x 245
245 = 5 x 49
49 = 7 x 7
If we write into multiples it would be 3675 x 3
On splitting 1225 further and writing it as multiples of numbers it would be 245 x 5.
On splitting 245 further and writing it as multiples of numbers it would be 49 x 5.
On splitting 49 further and writing it as multiples of numbers it would be 7 x 7.
Factor Tree Calculations
Here are examples of Factor tree calculations.
Ways to Find Factors of 3675
Here we are providing different methods to find the factors of the number 3675. 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 3675. Let’s start with 3 x 5 x 5 x 7 x 7 as it results in 3675 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 3675 now and we can write as 3 x 5 x 5 x 7 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 3, 5, 5, 7, 7 obtained here are also prime numbers and we will end up these branches.
FAQ on 3675 Factor Tree
1. What is factor tree for 3675 ?
Answer: Prime Factors of 3675 are 3 x 5 x 5 x 7 x 7.
2. What are the Prime Factors of 3675 ?
Answer: Prime Factors of 3675 are 3 x 5 x 5 x 7 x 7.