Given number is 5625
The factor tree of 5625 is as follows:
| 5625 | |||||||||||
| 3 | 1875 | ||||||||||
| 3 | 625 | ||||||||||
| 5 | 125 | ||||||||||
| 5 | 25 | ||||||||||
| 5 | 5 | ||||||||||
5625 = 3 x 1875
1875 = 3 x 625
625 = 5 x 125
125 = 5 x 25
25 = 5 x 5
If we write into multiples it would be 5625 x 3
On splitting 1875 further and writing it as multiples of numbers it would be 625 x 3.
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 5625. 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 5625. Let’s start with 3 x 3 x 5 x 5 x 5 x 5 as it results in 5625 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 5625 now and we can write as 3 x 3 x 5 x 5 x 5 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 3, 3, 5, 5, 5, 5 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 5625 ?
Answer: Prime Factors of 5625 are 3 x 3 x 5 x 5 x 5 x 5.
2. What are the Prime Factors of 5625 ?
Answer: Prime Factors of 5625 are 3 x 3 x 5 x 5 x 5 x 5.