Given number is 432
The factor tree of 432 is as follows:
432 | ||||||||||||
2 | 216 | |||||||||||
2 | 108 | |||||||||||
2 | 54 | |||||||||||
2 | 27 | |||||||||||
3 | 9 | |||||||||||
3 | 3 | |||||||||||
432 = 2 x 216
216 = 2 x 108
108 = 2 x 54
54 = 2 x 27
27 = 3 x 9
9 = 3 x 3
If we write into multiples it would be 432 x 2
On splitting 216 further and writing it as multiples of numbers it would be 108 x 2.
On splitting 108 further and writing it as multiples of numbers it would be 54 x 2.
On splitting 54 further and writing it as multiples of numbers it would be 27 x 2.
On splitting 27 further and writing it as multiples of numbers it would be 9 x 3.
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 432. 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 432. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 3 as it results in 432 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 432 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 x 3 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 3, 3 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 432 ?
Answer: Prime Factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3.
2. What are the Prime Factors of 432 ?
Answer: Prime Factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3.