Factor Tree of 1664

Given number is 1664
The factor tree of 1664 is as follows:

	1664
2		832
	2		416
		2		208
			2		104
				2		52
					2		26
						2		13

1664 = 2 x 832

832 = 2 x 416

416 = 2 x 208

208 = 2 x 104

104 = 2 x 52

52 = 2 x 26

26 = 2 x 13

If we write into multiples it would be 1664 x 2

On splitting 832 further and writing it as multiples of numbers it would be 416 x 2.

On splitting 416 further and writing it as multiples of numbers it would be 208 x 2.

On splitting 208 further and writing it as multiples of numbers it would be 104 x 2.

On splitting 104 further and writing it as multiples of numbers it would be 52 x 2.

On splitting 52 further and writing it as multiples of numbers it would be 26 x 2.

On splitting 26 further and writing it as multiples of numbers it would be 13 x 2.

Here are examples of Factor tree calculations.

• Factor Tree of 1714
• Factor Tree of 1764
• Factor Tree of 1814
• Factor Tree of 1864
• Factor Tree of 1914

Here we are providing different methods to find the factors of the number 1664. 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 1664. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 as it results in 1664 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 1664 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 2, 13 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 1664 ?

Answer: Prime Factors of 1664 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13.

2. What are the Prime Factors of 1664 ?

Answer: Prime Factors of 1664 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13.