Given number is 4752
The factor tree of 4752 is as follows:
| 4752 | |||||||||||||
| 2 | 2376 | ||||||||||||
| 2 | 1188 | ||||||||||||
| 2 | 594 | ||||||||||||
| 2 | 297 | ||||||||||||
| 3 | 99 | ||||||||||||
| 3 | 33 | ||||||||||||
| 3 | 11 | ||||||||||||
4752 = 2 x 2376
2376 = 2 x 1188
1188 = 2 x 594
594 = 2 x 297
297 = 3 x 99
99 = 3 x 33
33 = 3 x 11
If we write into multiples it would be 4752 x 2
On splitting 2376 further and writing it as multiples of numbers it would be 1188 x 2.
On splitting 1188 further and writing it as multiples of numbers it would be 594 x 2.
On splitting 594 further and writing it as multiples of numbers it would be 297 x 2.
On splitting 297 further and writing it as multiples of numbers it would be 99 x 3.
On splitting 99 further and writing it as multiples of numbers it would be 33 x 3.
On splitting 33 further and writing it as multiples of numbers it would be 11 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 4752. 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 4752. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 as it results in 4752 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 4752 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 3, 3, 11 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 4752 ?
Answer: Prime Factors of 4752 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11.
2. What are the Prime Factors of 4752 ?
Answer: Prime Factors of 4752 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11.