Factor Tree of 3672

Given number is 3672
The factor tree of 3672 is as follows:

3672 = 2 x 1836

1836 = 2 x 918

918 = 2 x 459

459 = 3 x 153

153 = 3 x 51

51 = 3 x 17

If we write into multiples it would be 3672 x 2

On splitting 1836 further and writing it as multiples of numbers it would be 918 x 2.

On splitting 918 further and writing it as multiples of numbers it would be 459 x 2.

On splitting 459 further and writing it as multiples of numbers it would be 153 x 3.

On splitting 153 further and writing it as multiples of numbers it would be 51 x 3.

On splitting 51 further and writing it as multiples of numbers it would be 17 x 3.

Here are examples of Factor tree calculations.

• Factor Tree of 3772
• Factor Tree of 3872
• Factor Tree of 3972
• Factor Tree of 4072
• Factor Tree of 4172

Here we are providing different methods to find the factors of the number 3672. 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 3672. Let’s start with 2 x 2 x 2 x 3 x 3 x 3 x 17 as it results in 3672 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 3672 now and we can write as 2 x 2 x 2 x 3 x 3 x 3 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 3, 17 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 3672 ?

Answer: Prime Factors of 3672 are 2 x 2 x 2 x 3 x 3 x 3 x 17.

2. What are the Prime Factors of 3672 ?

Answer: Prime Factors of 3672 are 2 x 2 x 2 x 3 x 3 x 3 x 17.