Given number is 72016
The factor tree of 72016 is as follows:
| 72016 | |||||||||||
| 2 | 36008 | ||||||||||
| 2 | 18004 | ||||||||||
| 2 | 9002 | ||||||||||
| 2 | 4501 | ||||||||||
| 7 | 643 | ||||||||||
72016 = 2 x 36008
36008 = 2 x 18004
18004 = 2 x 9002
9002 = 2 x 4501
4501 = 7 x 643
If we write into multiples it would be 72016 x 2
On splitting 36008 further and writing it as multiples of numbers it would be 18004 x 2.
On splitting 18004 further and writing it as multiples of numbers it would be 9002 x 2.
On splitting 9002 further and writing it as multiples of numbers it would be 4501 x 2.
On splitting 4501 further and writing it as multiples of numbers it would be 643 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 72016. 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 72016. Let’s start with 2 x 2 x 2 x 2 x 7 x 643 as it results in 72016 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 72016 now and we can write as 2 x 2 x 2 x 2 x 7 x 643 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 7, 643 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 72016 ?
Answer: Prime Factors of 72016 are 2 x 2 x 2 x 2 x 7 x 643.
2. What are the Prime Factors of 72016 ?
Answer: Prime Factors of 72016 are 2 x 2 x 2 x 2 x 7 x 643.