Factor Tree of 1764

Given number is 1764
The factor tree of 1764 is as follows:

	1764
2		882
	2		441
		3		147
			3		49
				7		7

1764 = 2 x 882

882 = 2 x 441

441 = 3 x 147

147 = 3 x 49

49 = 7 x 7

If we write into multiples it would be 1764 x 2

On splitting 882 further and writing it as multiples of numbers it would be 441 x 2.

On splitting 441 further and writing it as multiples of numbers it would be 147 x 3.

On splitting 147 further and writing it as multiples of numbers it would be 49 x 3.

On splitting 49 further and writing it as multiples of numbers it would be 7 x 7.

Here are examples of Factor tree calculations.

• Factor Tree of 1814
• Factor Tree of 1864
• Factor Tree of 1914
• Factor Tree of 1964
• Factor Tree of 2014

Here we are providing different methods to find the factors of the number 1764. 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 1764. Let’s start with 2 x 2 x 3 x 3 x 7 x 7 as it results in 1764 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 1764 now and we can write as 2 x 2 x 3 x 3 x 7 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 7, 7 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 1764 ?

Answer: Prime Factors of 1764 are 2 x 2 x 3 x 3 x 7 x 7.

2. What are the Prime Factors of 1764 ?

Answer: Prime Factors of 1764 are 2 x 2 x 3 x 3 x 7 x 7.