Given number is 78125
The factor tree of 78125 is as follows:
| 78125 | ||||||||||||
| 5 | 15625 | |||||||||||
| 5 | 3125 | |||||||||||
| 5 | 625 | |||||||||||
| 5 | 125 | |||||||||||
| 5 | 25 | |||||||||||
| 5 | 5 | |||||||||||
78125 = 5 x 15625
15625 = 5 x 3125
3125 = 5 x 625
625 = 5 x 125
125 = 5 x 25
25 = 5 x 5
If we write into multiples it would be 78125 x 5
On splitting 15625 further and writing it as multiples of numbers it would be 3125 x 5.
On splitting 3125 further and writing it as multiples of numbers it would be 625 x 5.
On splitting 625 further and writing it as multiples of numbers it would be 125 x 5.
On splitting 125 further and writing it as multiples of numbers it would be 25 x 5.
On splitting 25 further and writing it as multiples of numbers it would be 5 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 78125. 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 78125. Let’s start with 5 x 5 x 5 x 5 x 5 x 5 x 5 as it results in 78125 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 78125 now and we can write as 5 x 5 x 5 x 5 x 5 x 5 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 5, 5, 5, 5, 5, 5, 5 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 78125 ?
Answer: Prime Factors of 78125 are 5 x 5 x 5 x 5 x 5 x 5 x 5.
2. What are the Prime Factors of 78125 ?
Answer: Prime Factors of 78125 are 5 x 5 x 5 x 5 x 5 x 5 x 5.