Given number is 7000
The factor tree of 7000 is as follows:
| 7000 | ||||||||||||
| 2 | 3500 | |||||||||||
| 2 | 1750 | |||||||||||
| 2 | 875 | |||||||||||
| 5 | 175 | |||||||||||
| 5 | 35 | |||||||||||
| 5 | 7 | |||||||||||
7000 = 2 x 3500
3500 = 2 x 1750
1750 = 2 x 875
875 = 5 x 175
175 = 5 x 35
35 = 5 x 7
If we write into multiples it would be 7000 x 2
On splitting 3500 further and writing it as multiples of numbers it would be 1750 x 2.
On splitting 1750 further and writing it as multiples of numbers it would be 875 x 2.
On splitting 875 further and writing it as multiples of numbers it would be 175 x 5.
On splitting 175 further and writing it as multiples of numbers it would be 35 x 5.
On splitting 35 further and writing it as multiples of numbers it would be 7 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 7000. 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 7000. Let’s start with 2 x 2 x 2 x 5 x 5 x 5 x 7 as it results in 7000 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 7000 now and we can write as 2 x 2 x 2 x 5 x 5 x 5 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 5, 5, 5, 7 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 7000 ?
Answer: Prime Factors of 7000 are 2 x 2 x 2 x 5 x 5 x 5 x 7.
2. What are the Prime Factors of 7000 ?
Answer: Prime Factors of 7000 are 2 x 2 x 2 x 5 x 5 x 5 x 7.