Given number is 138264
The factor tree of 138264 is as follows:
| 138264 | |||||||||||
| 2 | 69132 | ||||||||||
| 2 | 34566 | ||||||||||
| 2 | 17283 | ||||||||||
| 3 | 5761 | ||||||||||
| 7 | 823 | ||||||||||
138264 = 2 x 69132
69132 = 2 x 34566
34566 = 2 x 17283
17283 = 3 x 5761
5761 = 7 x 823
If we write into multiples it would be 138264 x 2
On splitting 69132 further and writing it as multiples of numbers it would be 34566 x 2.
On splitting 34566 further and writing it as multiples of numbers it would be 17283 x 2.
On splitting 17283 further and writing it as multiples of numbers it would be 5761 x 3.
On splitting 5761 further and writing it as multiples of numbers it would be 823 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 138264. 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 138264. Let’s start with 2 x 2 x 2 x 3 x 7 x 823 as it results in 138264 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 138264 now and we can write as 2 x 2 x 2 x 3 x 7 x 823 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 7, 823 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 138264 ?
Answer: Prime Factors of 138264 are 2 x 2 x 2 x 3 x 7 x 823.
2. What are the Prime Factors of 138264 ?
Answer: Prime Factors of 138264 are 2 x 2 x 2 x 3 x 7 x 823.