Given number is 2100
The factor tree of 2100 is as follows:
2100 | |||||||||||
2 | 1050 | ||||||||||
2 | 525 | ||||||||||
3 | 175 | ||||||||||
5 | 35 | ||||||||||
5 | 7 | ||||||||||
2100 = 2 x 1050
1050 = 2 x 525
525 = 3 x 175
175 = 5 x 35
35 = 5 x 7
If we write into multiples it would be 2100 x 2
On splitting 1050 further and writing it as multiples of numbers it would be 525 x 2.
On splitting 525 further and writing it as multiples of numbers it would be 175 x 3.
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 2100. 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 2100. Let’s start with 2 x 2 x 3 x 5 x 5 x 7 as it results in 2100 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 2100 now and we can write as 2 x 2 x 3 x 5 x 5 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 5, 5, 7 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 2100 ?
Answer: Prime Factors of 2100 are 2 x 2 x 3 x 5 x 5 x 7.
2. What are the Prime Factors of 2100 ?
Answer: Prime Factors of 2100 are 2 x 2 x 3 x 5 x 5 x 7.