Factor Tree of 2352

Given number is 2352
The factor tree of 2352 is as follows:

	2352
2		1176
	2		588
		2		294
			2		147
				3		49
					7		7

2352 = 2 x 1176

1176 = 2 x 588

588 = 2 x 294

294 = 2 x 147

147 = 3 x 49

49 = 7 x 7

If we write into multiples it would be 2352 x 2

On splitting 1176 further and writing it as multiples of numbers it would be 588 x 2.

On splitting 588 further and writing it as multiples of numbers it would be 294 x 2.

On splitting 294 further and writing it as multiples of numbers it would be 147 x 2.

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 2402
• Factor Tree of 2452
• Factor Tree of 2502
• Factor Tree of 2552
• Factor Tree of 2602

Here we are providing different methods to find the factors of the number 2352. 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 2352. Let’s start with 2 x 2 x 2 x 2 x 3 x 7 x 7 as it results in 2352 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 2352 now and we can write as 2 x 2 x 2 x 2 x 3 x 7 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 7, 7 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 2352 ?

Answer: Prime Factors of 2352 are 2 x 2 x 2 x 2 x 3 x 7 x 7.

2. What are the Prime Factors of 2352 ?

Answer: Prime Factors of 2352 are 2 x 2 x 2 x 2 x 3 x 7 x 7.