Given number is 72464
The factor tree of 72464 is as follows:
| 72464 | |||||||||||
| 2 | 36232 | ||||||||||
| 2 | 18116 | ||||||||||
| 2 | 9058 | ||||||||||
| 2 | 4529 | ||||||||||
| 7 | 647 | ||||||||||
72464 = 2 x 36232
36232 = 2 x 18116
18116 = 2 x 9058
9058 = 2 x 4529
4529 = 7 x 647
If we write into multiples it would be 72464 x 2
On splitting 36232 further and writing it as multiples of numbers it would be 18116 x 2.
On splitting 18116 further and writing it as multiples of numbers it would be 9058 x 2.
On splitting 9058 further and writing it as multiples of numbers it would be 4529 x 2.
On splitting 4529 further and writing it as multiples of numbers it would be 647 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 72464. 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 72464. Let’s start with 2 x 2 x 2 x 2 x 7 x 647 as it results in 72464 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 72464 now and we can write as 2 x 2 x 2 x 2 x 7 x 647 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 7, 647 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 72464 ?
Answer: Prime Factors of 72464 are 2 x 2 x 2 x 2 x 7 x 647.
2. What are the Prime Factors of 72464 ?
Answer: Prime Factors of 72464 are 2 x 2 x 2 x 2 x 7 x 647.