Factor Tree of 1564

Given number is 1564
The factor tree of 1564 is as follows:

	1564
2		782
	2		391
		17		23

1564 = 2 x 782

782 = 2 x 391

391 = 17 x 23

If we write into multiples it would be 1564 x 2

On splitting 782 further and writing it as multiples of numbers it would be 391 x 2.

On splitting 391 further and writing it as multiples of numbers it would be 23 x 17.

Here are examples of Factor tree calculations.

• Factor Tree of 1614
• Factor Tree of 1664
• Factor Tree of 1714
• Factor Tree of 1764
• Factor Tree of 1814

Here we are providing different methods to find the factors of the number 1564. 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 1564. Let’s start with 2 x 2 x 17 x 23 as it results in 1564 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 1564 now and we can write as 2 x 2 x 17 x 23 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 17, 23 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 1564 ?

Answer: Prime Factors of 1564 are 2 x 2 x 17 x 23.

2. What are the Prime Factors of 1564 ?

Answer: Prime Factors of 1564 are 2 x 2 x 17 x 23.