Factor Tree of 126072

Given number is 126072
The factor tree of 126072 is as follows:

126072 = 2 x 63036

63036 = 2 x 31518

31518 = 2 x 15759

15759 = 3 x 5253

5253 = 3 x 1751

1751 = 17 x 103

If we write into multiples it would be 126072 x 2

On splitting 63036 further and writing it as multiples of numbers it would be 31518 x 2.

On splitting 31518 further and writing it as multiples of numbers it would be 15759 x 2.

On splitting 15759 further and writing it as multiples of numbers it would be 5253 x 3.

On splitting 5253 further and writing it as multiples of numbers it would be 1751 x 3.

On splitting 1751 further and writing it as multiples of numbers it would be 103 x 17.

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Here we are providing different methods to find the factors of the number 126072. 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 126072. Let’s start with 2 x 2 x 2 x 3 x 3 x 17 x 103 as it results in 126072 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 126072 now and we can write as 2 x 2 x 2 x 3 x 3 x 17 x 103 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 17, 103 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 126072 ?

Answer: Prime Factors of 126072 are 2 x 2 x 2 x 3 x 3 x 17 x 103.

2. What are the Prime Factors of 126072 ?

Answer: Prime Factors of 126072 are 2 x 2 x 2 x 3 x 3 x 17 x 103.