Given number is 17248
The factor tree of 17248 is as follows:
| 17248 | |||||||||||||
| 2 | 8624 | ||||||||||||
| 2 | 4312 | ||||||||||||
| 2 | 2156 | ||||||||||||
| 2 | 1078 | ||||||||||||
| 2 | 539 | ||||||||||||
| 7 | 77 | ||||||||||||
| 7 | 11 | ||||||||||||
17248 = 2 x 8624
8624 = 2 x 4312
4312 = 2 x 2156
2156 = 2 x 1078
1078 = 2 x 539
539 = 7 x 77
77 = 7 x 11
If we write into multiples it would be 17248 x 2
On splitting 8624 further and writing it as multiples of numbers it would be 4312 x 2.
On splitting 4312 further and writing it as multiples of numbers it would be 2156 x 2.
On splitting 2156 further and writing it as multiples of numbers it would be 1078 x 2.
On splitting 1078 further and writing it as multiples of numbers it would be 539 x 2.
On splitting 539 further and writing it as multiples of numbers it would be 77 x 7.
On splitting 77 further and writing it as multiples of numbers it would be 11 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 17248. 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 17248. Let’s start with 2 x 2 x 2 x 2 x 2 x 7 x 7 x 11 as it results in 17248 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 17248 now and we can write as 2 x 2 x 2 x 2 x 2 x 7 x 7 x 11 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 7, 7, 11 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 17248 ?
Answer: Prime Factors of 17248 are 2 x 2 x 2 x 2 x 2 x 7 x 7 x 11.
2. What are the Prime Factors of 17248 ?
Answer: Prime Factors of 17248 are 2 x 2 x 2 x 2 x 2 x 7 x 7 x 11.