Factor Tree of 10472

Given number is 10472
The factor tree of 10472 is as follows:

10472 = 2 x 5236

5236 = 2 x 2618

2618 = 2 x 1309

1309 = 7 x 187

187 = 11 x 17

If we write into multiples it would be 10472 x 2

On splitting 5236 further and writing it as multiples of numbers it would be 2618 x 2.

On splitting 2618 further and writing it as multiples of numbers it would be 1309 x 2.

On splitting 1309 further and writing it as multiples of numbers it would be 187 x 7.

On splitting 187 further and writing it as multiples of numbers it would be 17 x 11.

Here are examples of Factor tree calculations.

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Here we are providing different methods to find the factors of the number 10472. 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 10472. Let’s start with 2 x 2 x 2 x 7 x 11 x 17 as it results in 10472 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 10472 now and we can write as 2 x 2 x 2 x 7 x 11 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 7, 11, 17 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 10472 ?

Answer: Prime Factors of 10472 are 2 x 2 x 2 x 7 x 11 x 17.

2. What are the Prime Factors of 10472 ?

Answer: Prime Factors of 10472 are 2 x 2 x 2 x 7 x 11 x 17.