Given number is 43216
The factor tree of 43216 is as follows:
| 43216 | |||||||||||
| 2 | 21608 | ||||||||||
| 2 | 10804 | ||||||||||
| 2 | 5402 | ||||||||||
| 2 | 2701 | ||||||||||
| 37 | 73 | ||||||||||
43216 = 2 x 21608
21608 = 2 x 10804
10804 = 2 x 5402
5402 = 2 x 2701
2701 = 37 x 73
If we write into multiples it would be 43216 x 2
On splitting 21608 further and writing it as multiples of numbers it would be 10804 x 2.
On splitting 10804 further and writing it as multiples of numbers it would be 5402 x 2.
On splitting 5402 further and writing it as multiples of numbers it would be 2701 x 2.
On splitting 2701 further and writing it as multiples of numbers it would be 73 x 37.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 43216. 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 43216. Let’s start with 2 x 2 x 2 x 2 x 37 x 73 as it results in 43216 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 43216 now and we can write as 2 x 2 x 2 x 2 x 37 x 73 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 37, 73 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 43216 ?
Answer: Prime Factors of 43216 are 2 x 2 x 2 x 2 x 37 x 73.
2. What are the Prime Factors of 43216 ?
Answer: Prime Factors of 43216 are 2 x 2 x 2 x 2 x 37 x 73.