Given number is 45248
The factor tree of 45248 is as follows:
| 45248 | |||||||||||||
| 2 | 22624 | ||||||||||||
| 2 | 11312 | ||||||||||||
| 2 | 5656 | ||||||||||||
| 2 | 2828 | ||||||||||||
| 2 | 1414 | ||||||||||||
| 2 | 707 | ||||||||||||
| 7 | 101 | ||||||||||||
45248 = 2 x 22624
22624 = 2 x 11312
11312 = 2 x 5656
5656 = 2 x 2828
2828 = 2 x 1414
1414 = 2 x 707
707 = 7 x 101
If we write into multiples it would be 45248 x 2
On splitting 22624 further and writing it as multiples of numbers it would be 11312 x 2.
On splitting 11312 further and writing it as multiples of numbers it would be 5656 x 2.
On splitting 5656 further and writing it as multiples of numbers it would be 2828 x 2.
On splitting 2828 further and writing it as multiples of numbers it would be 1414 x 2.
On splitting 1414 further and writing it as multiples of numbers it would be 707 x 2.
On splitting 707 further and writing it as multiples of numbers it would be 101 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 45248. 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 45248. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 7 x 101 as it results in 45248 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 45248 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 7 x 101 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 7, 101 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 45248 ?
Answer: Prime Factors of 45248 are 2 x 2 x 2 x 2 x 2 x 2 x 7 x 101.
2. What are the Prime Factors of 45248 ?
Answer: Prime Factors of 45248 are 2 x 2 x 2 x 2 x 2 x 2 x 7 x 101.