Given number is 5624
The factor tree of 5624 is as follows:
| 5624 | ||||||||||
| 2 | 2812 | |||||||||
| 2 | 1406 | |||||||||
| 2 | 703 | |||||||||
| 19 | 37 | |||||||||
5624 = 2 x 2812
2812 = 2 x 1406
1406 = 2 x 703
703 = 19 x 37
If we write into multiples it would be 5624 x 2
On splitting 2812 further and writing it as multiples of numbers it would be 1406 x 2.
On splitting 1406 further and writing it as multiples of numbers it would be 703 x 2.
On splitting 703 further and writing it as multiples of numbers it would be 37 x 19.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 5624. 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 5624. Let’s start with 2 x 2 x 2 x 19 x 37 as it results in 5624 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 5624 now and we can write as 2 x 2 x 2 x 19 x 37 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 19, 37 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 5624 ?
Answer: Prime Factors of 5624 are 2 x 2 x 2 x 19 x 37.
2. What are the Prime Factors of 5624 ?
Answer: Prime Factors of 5624 are 2 x 2 x 2 x 19 x 37.