Given number is 17472
The factor tree of 17472 is as follows:
| 17472 | ||||||||||||||
| 2 | 8736 | |||||||||||||
| 2 | 4368 | |||||||||||||
| 2 | 2184 | |||||||||||||
| 2 | 1092 | |||||||||||||
| 2 | 546 | |||||||||||||
| 2 | 273 | |||||||||||||
| 3 | 91 | |||||||||||||
| 7 | 13 | |||||||||||||
17472 = 2 x 8736
8736 = 2 x 4368
4368 = 2 x 2184
2184 = 2 x 1092
1092 = 2 x 546
546 = 2 x 273
273 = 3 x 91
91 = 7 x 13
If we write into multiples it would be 17472 x 2
On splitting 8736 further and writing it as multiples of numbers it would be 4368 x 2.
On splitting 4368 further and writing it as multiples of numbers it would be 2184 x 2.
On splitting 2184 further and writing it as multiples of numbers it would be 1092 x 2.
On splitting 1092 further and writing it as multiples of numbers it would be 546 x 2.
On splitting 546 further and writing it as multiples of numbers it would be 273 x 2.
On splitting 273 further and writing it as multiples of numbers it would be 91 x 3.
On splitting 91 further and writing it as multiples of numbers it would be 13 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 17472. 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 17472. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 as it results in 17472 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 17472 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 7, 13 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 17472 ?
Answer: Prime Factors of 17472 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13.
2. What are the Prime Factors of 17472 ?
Answer: Prime Factors of 17472 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13.