Given number is 3000
The factor tree of 3000 is as follows:
| 3000 | ||||||||||||
| 2 | 1500 | |||||||||||
| 2 | 750 | |||||||||||
| 2 | 375 | |||||||||||
| 3 | 125 | |||||||||||
| 5 | 25 | |||||||||||
| 5 | 5 | |||||||||||
3000 = 2 x 1500
1500 = 2 x 750
750 = 2 x 375
375 = 3 x 125
125 = 5 x 25
25 = 5 x 5
If we write into multiples it would be 3000 x 2
On splitting 1500 further and writing it as multiples of numbers it would be 750 x 2.
On splitting 750 further and writing it as multiples of numbers it would be 375 x 2.
On splitting 375 further and writing it as multiples of numbers it would be 125 x 3.
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 3000. 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 3000. Let’s start with 2 x 2 x 2 x 3 x 5 x 5 x 5 as it results in 3000 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 3000 now and we can write as 2 x 2 x 2 x 3 x 5 x 5 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 5, 5, 5 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 3000 ?
Answer: Prime Factors of 3000 are 2 x 2 x 2 x 3 x 5 x 5 x 5.
2. What are the Prime Factors of 3000 ?
Answer: Prime Factors of 3000 are 2 x 2 x 2 x 3 x 5 x 5 x 5.