Factor Tree of 7752

Given number is 7752
The factor tree of 7752 is as follows:

7752 = 2 x 3876

3876 = 2 x 1938

1938 = 2 x 969

969 = 3 x 323

323 = 17 x 19

If we write into multiples it would be 7752 x 2

On splitting 3876 further and writing it as multiples of numbers it would be 1938 x 2.

On splitting 1938 further and writing it as multiples of numbers it would be 969 x 2.

On splitting 969 further and writing it as multiples of numbers it would be 323 x 3.

On splitting 323 further and writing it as multiples of numbers it would be 19 x 17.

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Here we are providing different methods to find the factors of the number 7752. 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 7752. Let’s start with 2 x 2 x 2 x 3 x 17 x 19 as it results in 7752 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 7752 now and we can write as 2 x 2 x 2 x 3 x 17 x 19 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 17, 19 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 7752 ?

Answer: Prime Factors of 7752 are 2 x 2 x 2 x 3 x 17 x 19.

2. What are the Prime Factors of 7752 ?

Answer: Prime Factors of 7752 are 2 x 2 x 2 x 3 x 17 x 19.