Factor Tree of 37152

Given number is 37152
The factor tree of 37152 is as follows:

37152 = 2 x 18576

18576 = 2 x 9288

9288 = 2 x 4644

4644 = 2 x 2322

2322 = 2 x 1161

1161 = 3 x 387

387 = 3 x 129

129 = 3 x 43

If we write into multiples it would be 37152 x 2

On splitting 18576 further and writing it as multiples of numbers it would be 9288 x 2.

On splitting 9288 further and writing it as multiples of numbers it would be 4644 x 2.

On splitting 4644 further and writing it as multiples of numbers it would be 2322 x 2.

On splitting 2322 further and writing it as multiples of numbers it would be 1161 x 2.

On splitting 1161 further and writing it as multiples of numbers it would be 387 x 3.

On splitting 387 further and writing it as multiples of numbers it would be 129 x 3.

On splitting 129 further and writing it as multiples of numbers it would be 43 x 3.

Here are examples of Factor tree calculations.

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Here we are providing different methods to find the factors of the number 37152. 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 37152. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 43 as it results in 37152 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 37152 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 43 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 3, 3, 43 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 37152 ?

Answer: Prime Factors of 37152 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 43.

2. What are the Prime Factors of 37152 ?

Answer: Prime Factors of 37152 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 43.