Factor Tree of 72312

Given number is 72312
The factor tree of 72312 is as follows:

72312 = 2 x 36156

36156 = 2 x 18078

18078 = 2 x 9039

9039 = 3 x 3013

3013 = 23 x 131

If we write into multiples it would be 72312 x 2

On splitting 36156 further and writing it as multiples of numbers it would be 18078 x 2.

On splitting 18078 further and writing it as multiples of numbers it would be 9039 x 2.

On splitting 9039 further and writing it as multiples of numbers it would be 3013 x 3.

On splitting 3013 further and writing it as multiples of numbers it would be 131 x 23.

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Here we are providing different methods to find the factors of the number 72312. 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 72312. Let’s start with 2 x 2 x 2 x 3 x 23 x 131 as it results in 72312 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 72312 now and we can write as 2 x 2 x 2 x 3 x 23 x 131 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 23, 131 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 72312 ?

Answer: Prime Factors of 72312 are 2 x 2 x 2 x 3 x 23 x 131.

2. What are the Prime Factors of 72312 ?

Answer: Prime Factors of 72312 are 2 x 2 x 2 x 3 x 23 x 131.