Factor Tree of 840

Given number is 840
The factor tree of 840 is as follows:

	840
2		420
	2		210
		2		105
			3		35
				5		7

840 = 2 x 420

420 = 2 x 210

210 = 2 x 105

105 = 3 x 35

35 = 5 x 7

If we write into multiples it would be 840 x 2

On splitting 420 further and writing it as multiples of numbers it would be 210 x 2.

On splitting 210 further and writing it as multiples of numbers it would be 105 x 2.

On splitting 105 further and writing it as multiples of numbers it would be 35 x 3.

On splitting 35 further and writing it as multiples of numbers it would be 7 x 5.

Here are examples of Factor tree calculations.

• Factor Tree of 845
• Factor Tree of 850
• Factor Tree of 855
• Factor Tree of 860
• Factor Tree of 865

Here we are providing different methods to find the factors of the number 840. 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 840. Let’s start with 2 x 2 x 2 x 3 x 5 x 7 as it results in 840 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 840 now and we can write as 2 x 2 x 2 x 3 x 5 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 5, 7 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 840 ?

Answer: Prime Factors of 840 are 2 x 2 x 2 x 3 x 5 x 7.

2. What are the Prime Factors of 840 ?

Answer: Prime Factors of 840 are 2 x 2 x 2 x 3 x 5 x 7.