Factor Tree of 3872

Given number is 3872
The factor tree of 3872 is as follows:

3872 = 2 x 1936

1936 = 2 x 968

968 = 2 x 484

484 = 2 x 242

242 = 2 x 121

121 = 11 x 11

If we write into multiples it would be 3872 x 2

On splitting 1936 further and writing it as multiples of numbers it would be 968 x 2.

On splitting 968 further and writing it as multiples of numbers it would be 484 x 2.

On splitting 484 further and writing it as multiples of numbers it would be 242 x 2.

On splitting 242 further and writing it as multiples of numbers it would be 121 x 2.

On splitting 121 further and writing it as multiples of numbers it would be 11 x 11.

Here are examples of Factor tree calculations.

• Factor Tree of 3972
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• Factor Tree of 4372

Here we are providing different methods to find the factors of the number 3872. 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 3872. Let’s start with 2 x 2 x 2 x 2 x 2 x 11 x 11 as it results in 3872 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 3872 now and we can write as 2 x 2 x 2 x 2 x 2 x 11 x 11 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 11, 11 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 3872 ?

Answer: Prime Factors of 3872 are 2 x 2 x 2 x 2 x 2 x 11 x 11.

2. What are the Prime Factors of 3872 ?

Answer: Prime Factors of 3872 are 2 x 2 x 2 x 2 x 2 x 11 x 11.