Factor Tree of 7875

Given number is 7875
The factor tree of 7875 is as follows:

7875 = 3 x 2625

2625 = 3 x 875

875 = 5 x 175

175 = 5 x 35

35 = 5 x 7

If we write into multiples it would be 7875 x 3

On splitting 2625 further and writing it as multiples of numbers it would be 875 x 3.

On splitting 875 further and writing it as multiples of numbers it would be 175 x 5.

On splitting 175 further and writing it as multiples of numbers it would be 35 x 5.

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

Here are examples of Factor tree calculations.

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Here we are providing different methods to find the factors of the number 7875. 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 7875. Let’s start with 3 x 3 x 5 x 5 x 5 x 7 as it results in 7875 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 7875 now and we can write as 3 x 3 x 5 x 5 x 5 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 3, 3, 5, 5, 5, 7 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 7875 ?

Answer: Prime Factors of 7875 are 3 x 3 x 5 x 5 x 5 x 7.

2. What are the Prime Factors of 7875 ?

Answer: Prime Factors of 7875 are 3 x 3 x 5 x 5 x 5 x 7.