Given number is 576
The factor tree of 576 is as follows:
576 | |||||||||||||
2 | 288 | ||||||||||||
2 | 144 | ||||||||||||
2 | 72 | ||||||||||||
2 | 36 | ||||||||||||
2 | 18 | ||||||||||||
2 | 9 | ||||||||||||
3 | 3 | ||||||||||||
576 = 2 x 288
288 = 2 x 144
144 = 2 x 72
72 = 2 x 36
36 = 2 x 18
18 = 2 x 9
9 = 3 x 3
If we write into multiples it would be 576 x 2
On splitting 288 further and writing it as multiples of numbers it would be 144 x 2.
On splitting 144 further and writing it as multiples of numbers it would be 72 x 2.
On splitting 72 further and writing it as multiples of numbers it would be 36 x 2.
On splitting 36 further and writing it as multiples of numbers it would be 18 x 2.
On splitting 18 further and writing it as multiples of numbers it would be 9 x 2.
On splitting 9 further and writing it as multiples of numbers it would be 3 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 576. 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 576. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 as it results in 576 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 576 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 3 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 576 ?
Answer: Prime Factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3.
2. What are the Prime Factors of 576 ?
Answer: Prime Factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3.