Factor Tree of 3648

Given number is 3648
The factor tree of 3648 is as follows:

3648 = 2 x 1824

1824 = 2 x 912

912 = 2 x 456

456 = 2 x 228

228 = 2 x 114

114 = 2 x 57

57 = 3 x 19

If we write into multiples it would be 3648 x 2

On splitting 1824 further and writing it as multiples of numbers it would be 912 x 2.

On splitting 912 further and writing it as multiples of numbers it would be 456 x 2.

On splitting 456 further and writing it as multiples of numbers it would be 228 x 2.

On splitting 228 further and writing it as multiples of numbers it would be 114 x 2.

On splitting 114 further and writing it as multiples of numbers it would be 57 x 2.

On splitting 57 further and writing it as multiples of numbers it would be 19 x 3.

Here are examples of Factor tree calculations.

• Factor Tree of 3748
• Factor Tree of 3848
• Factor Tree of 3948
• Factor Tree of 4048
• Factor Tree of 4148

Here we are providing different methods to find the factors of the number 3648. 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 3648. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 as it results in 3648 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 3648 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 19 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 3648 ?

Answer: Prime Factors of 3648 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19.

2. What are the Prime Factors of 3648 ?

Answer: Prime Factors of 3648 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19.