Factor Tree of 75072

Given number is 75072
The factor tree of 75072 is as follows:

75072 = 2 x 37536

37536 = 2 x 18768

18768 = 2 x 9384

9384 = 2 x 4692

4692 = 2 x 2346

2346 = 2 x 1173

1173 = 3 x 391

391 = 17 x 23

If we write into multiples it would be 75072 x 2

On splitting 37536 further and writing it as multiples of numbers it would be 18768 x 2.

On splitting 18768 further and writing it as multiples of numbers it would be 9384 x 2.

On splitting 9384 further and writing it as multiples of numbers it would be 4692 x 2.

On splitting 4692 further and writing it as multiples of numbers it would be 2346 x 2.

On splitting 2346 further and writing it as multiples of numbers it would be 1173 x 2.

On splitting 1173 further and writing it as multiples of numbers it would be 391 x 3.

On splitting 391 further and writing it as multiples of numbers it would be 23 x 17.

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Here we are providing different methods to find the factors of the number 75072. 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 75072. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 23 as it results in 75072 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 75072 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 23 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 17, 23 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 75072 ?

Answer: Prime Factors of 75072 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 23.

2. What are the Prime Factors of 75072 ?

Answer: Prime Factors of 75072 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 23.