Factor Tree of 400

Given number is 400
The factor tree of 400 is as follows:

	400
2		200
	2		100
		2		50
			2		25
				5		5

400 = 2 x 200

200 = 2 x 100

100 = 2 x 50

50 = 2 x 25

25 = 5 x 5

If we write into multiples it would be 400 x 2

On splitting 200 further and writing it as multiples of numbers it would be 100 x 2.

On splitting 100 further and writing it as multiples of numbers it would be 50 x 2.

On splitting 50 further and writing it as multiples of numbers it would be 25 x 2.

On splitting 25 further and writing it as multiples of numbers it would be 5 x 5.

Here are examples of Factor tree calculations.

• Factor Tree of 402
• Factor Tree of 404
• Factor Tree of 406
• Factor Tree of 408
• Factor Tree of 410

Here we are providing different methods to find the factors of the number 400. 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 400. Let’s start with 2 x 2 x 2 x 2 x 5 x 5 as it results in 400 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 400 now and we can write as 2 x 2 x 2 x 2 x 5 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 5, 5 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 400 ?

Answer: Prime Factors of 400 are 2 x 2 x 2 x 2 x 5 x 5.

2. What are the Prime Factors of 400 ?

Answer: Prime Factors of 400 are 2 x 2 x 2 x 2 x 5 x 5.