Factor Tree of 37200

Given number is 37200
The factor tree of 37200 is as follows:

37200 = 2 x 18600

18600 = 2 x 9300

9300 = 2 x 4650

4650 = 2 x 2325

2325 = 3 x 775

775 = 5 x 155

155 = 5 x 31

If we write into multiples it would be 37200 x 2

On splitting 18600 further and writing it as multiples of numbers it would be 9300 x 2.

On splitting 9300 further and writing it as multiples of numbers it would be 4650 x 2.

On splitting 4650 further and writing it as multiples of numbers it would be 2325 x 2.

On splitting 2325 further and writing it as multiples of numbers it would be 775 x 3.

On splitting 775 further and writing it as multiples of numbers it would be 155 x 5.

On splitting 155 further and writing it as multiples of numbers it would be 31 x 5.

Here are examples of Factor tree calculations.

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Here we are providing different methods to find the factors of the number 37200. 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 37200. Let’s start with 2 x 2 x 2 x 2 x 3 x 5 x 5 x 31 as it results in 37200 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 37200 now and we can write as 2 x 2 x 2 x 2 x 3 x 5 x 5 x 31 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 5, 5, 31 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 37200 ?

Answer: Prime Factors of 37200 are 2 x 2 x 2 x 2 x 3 x 5 x 5 x 31.

2. What are the Prime Factors of 37200 ?

Answer: Prime Factors of 37200 are 2 x 2 x 2 x 2 x 3 x 5 x 5 x 31.