Given number is 42264
The factor tree of 42264 is as follows:
| 42264 | |||||||||||
| 2 | 21132 | ||||||||||
| 2 | 10566 | ||||||||||
| 2 | 5283 | ||||||||||
| 3 | 1761 | ||||||||||
| 3 | 587 | ||||||||||
42264 = 2 x 21132
21132 = 2 x 10566
10566 = 2 x 5283
5283 = 3 x 1761
1761 = 3 x 587
If we write into multiples it would be 42264 x 2
On splitting 21132 further and writing it as multiples of numbers it would be 10566 x 2.
On splitting 10566 further and writing it as multiples of numbers it would be 5283 x 2.
On splitting 5283 further and writing it as multiples of numbers it would be 1761 x 3.
On splitting 1761 further and writing it as multiples of numbers it would be 587 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 42264. 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 42264. Let’s start with 2 x 2 x 2 x 3 x 3 x 587 as it results in 42264 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 42264 now and we can write as 2 x 2 x 2 x 3 x 3 x 587 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 587 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 42264 ?
Answer: Prime Factors of 42264 are 2 x 2 x 2 x 3 x 3 x 587.
2. What are the Prime Factors of 42264 ?
Answer: Prime Factors of 42264 are 2 x 2 x 2 x 3 x 3 x 587.