Given number is 46125
The factor tree of 46125 is as follows:
| 46125 | |||||||||||
| 3 | 15375 | ||||||||||
| 3 | 5125 | ||||||||||
| 5 | 1025 | ||||||||||
| 5 | 205 | ||||||||||
| 5 | 41 | ||||||||||
46125 = 3 x 15375
15375 = 3 x 5125
5125 = 5 x 1025
1025 = 5 x 205
205 = 5 x 41
If we write into multiples it would be 46125 x 3
On splitting 15375 further and writing it as multiples of numbers it would be 5125 x 3.
On splitting 5125 further and writing it as multiples of numbers it would be 1025 x 5.
On splitting 1025 further and writing it as multiples of numbers it would be 205 x 5.
On splitting 205 further and writing it as multiples of numbers it would be 41 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 46125. 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 46125. Let’s start with 3 x 3 x 5 x 5 x 5 x 41 as it results in 46125 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 46125 now and we can write as 3 x 3 x 5 x 5 x 5 x 41 and place those factors on the tree. similarly to prime numbers obtained in the first step 3, 3, 5, 5, 5, 41 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 46125 ?
Answer: Prime Factors of 46125 are 3 x 3 x 5 x 5 x 5 x 41.
2. What are the Prime Factors of 46125 ?
Answer: Prime Factors of 46125 are 3 x 3 x 5 x 5 x 5 x 41.