Given number is 42456
The factor tree of 42456 is as follows:
| 42456 | |||||||||||
| 2 | 21228 | ||||||||||
| 2 | 10614 | ||||||||||
| 2 | 5307 | ||||||||||
| 3 | 1769 | ||||||||||
| 29 | 61 | ||||||||||
42456 = 2 x 21228
21228 = 2 x 10614
10614 = 2 x 5307
5307 = 3 x 1769
1769 = 29 x 61
If we write into multiples it would be 42456 x 2
On splitting 21228 further and writing it as multiples of numbers it would be 10614 x 2.
On splitting 10614 further and writing it as multiples of numbers it would be 5307 x 2.
On splitting 5307 further and writing it as multiples of numbers it would be 1769 x 3.
On splitting 1769 further and writing it as multiples of numbers it would be 61 x 29.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 42456. 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 42456. Let’s start with 2 x 2 x 2 x 3 x 29 x 61 as it results in 42456 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 42456 now and we can write as 2 x 2 x 2 x 3 x 29 x 61 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 29, 61 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 42456 ?
Answer: Prime Factors of 42456 are 2 x 2 x 2 x 3 x 29 x 61.
2. What are the Prime Factors of 42456 ?
Answer: Prime Factors of 42456 are 2 x 2 x 2 x 3 x 29 x 61.