Factor Tree of 1360

Given number is 1360
The factor tree of 1360 is as follows:

	1360
2		680
	2		340
		2		170
			2		85
				5		17

1360 = 2 x 680

680 = 2 x 340

340 = 2 x 170

170 = 2 x 85

85 = 5 x 17

If we write into multiples it would be 1360 x 2

On splitting 680 further and writing it as multiples of numbers it would be 340 x 2.

On splitting 340 further and writing it as multiples of numbers it would be 170 x 2.

On splitting 170 further and writing it as multiples of numbers it would be 85 x 2.

On splitting 85 further and writing it as multiples of numbers it would be 17 x 5.

Here are examples of Factor tree calculations.

• Factor Tree of 1410
• Factor Tree of 1460
• Factor Tree of 1510
• Factor Tree of 1560
• Factor Tree of 1610

Here we are providing different methods to find the factors of the number 1360. 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 1360. Let’s start with 2 x 2 x 2 x 2 x 5 x 17 as it results in 1360 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 1360 now and we can write as 2 x 2 x 2 x 2 x 5 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 5, 17 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 1360 ?

Answer: Prime Factors of 1360 are 2 x 2 x 2 x 2 x 5 x 17.

2. What are the Prime Factors of 1360 ?

Answer: Prime Factors of 1360 are 2 x 2 x 2 x 2 x 5 x 17.