Factor Tree of 7504

Given number is 7504
The factor tree of 7504 is as follows:

7504 = 2 x 3752

3752 = 2 x 1876

1876 = 2 x 938

938 = 2 x 469

469 = 7 x 67

If we write into multiples it would be 7504 x 2

On splitting 3752 further and writing it as multiples of numbers it would be 1876 x 2.

On splitting 1876 further and writing it as multiples of numbers it would be 938 x 2.

On splitting 938 further and writing it as multiples of numbers it would be 469 x 2.

On splitting 469 further and writing it as multiples of numbers it would be 67 x 7.

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Here we are providing different methods to find the factors of the number 7504. 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 7504. Let’s start with 2 x 2 x 2 x 2 x 7 x 67 as it results in 7504 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 7504 now and we can write as 2 x 2 x 2 x 2 x 7 x 67 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 7, 67 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 7504 ?

Answer: Prime Factors of 7504 are 2 x 2 x 2 x 2 x 7 x 67.

2. What are the Prime Factors of 7504 ?

Answer: Prime Factors of 7504 are 2 x 2 x 2 x 2 x 7 x 67.