Factor Tree of 138348

Given number is 138348
The factor tree of 138348 is as follows:

138348 = 2 x 69174

69174 = 2 x 34587

34587 = 3 x 11529

11529 = 3 x 3843

3843 = 3 x 1281

1281 = 3 x 427

427 = 7 x 61

If we write into multiples it would be 138348 x 2

On splitting 69174 further and writing it as multiples of numbers it would be 34587 x 2.

On splitting 34587 further and writing it as multiples of numbers it would be 11529 x 3.

On splitting 11529 further and writing it as multiples of numbers it would be 3843 x 3.

On splitting 3843 further and writing it as multiples of numbers it would be 1281 x 3.

On splitting 1281 further and writing it as multiples of numbers it would be 427 x 3.

On splitting 427 further and writing it as multiples of numbers it would be 61 x 7.

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Here we are providing different methods to find the factors of the number 138348. 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 138348. Let’s start with 2 x 2 x 3 x 3 x 3 x 3 x 7 x 61 as it results in 138348 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 138348 now and we can write as 2 x 2 x 3 x 3 x 3 x 3 x 7 x 61 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 3, 3, 7, 61 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 138348 ?

Answer: Prime Factors of 138348 are 2 x 2 x 3 x 3 x 3 x 3 x 7 x 61.

2. What are the Prime Factors of 138348 ?

Answer: Prime Factors of 138348 are 2 x 2 x 3 x 3 x 3 x 3 x 7 x 61.