Factor Tree of 7824

Given number is 7824
The factor tree of 7824 is as follows:

7824 = 2 x 3912

3912 = 2 x 1956

1956 = 2 x 978

978 = 2 x 489

489 = 3 x 163

If we write into multiples it would be 7824 x 2

On splitting 3912 further and writing it as multiples of numbers it would be 1956 x 2.

On splitting 1956 further and writing it as multiples of numbers it would be 978 x 2.

On splitting 978 further and writing it as multiples of numbers it would be 489 x 2.

On splitting 489 further and writing it as multiples of numbers it would be 163 x 3.

Here are examples of Factor tree calculations.

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Here we are providing different methods to find the factors of the number 7824. 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 7824. Let’s start with 2 x 2 x 2 x 2 x 3 x 163 as it results in 7824 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 7824 now and we can write as 2 x 2 x 2 x 2 x 3 x 163 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 163 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 7824 ?

Answer: Prime Factors of 7824 are 2 x 2 x 2 x 2 x 3 x 163.

2. What are the Prime Factors of 7824 ?

Answer: Prime Factors of 7824 are 2 x 2 x 2 x 2 x 3 x 163.