Given number is 1575
The factor tree of 1575 is as follows:
1575 | ||||||||||
3 | 525 | |||||||||
3 | 175 | |||||||||
5 | 35 | |||||||||
5 | 7 | |||||||||
1575 = 3 x 525
525 = 3 x 175
175 = 5 x 35
35 = 5 x 7
If we write into multiples it would be 1575 x 3
On splitting 525 further and writing it as multiples of numbers it would be 175 x 3.
On splitting 175 further and writing it as multiples of numbers it would be 35 x 5.
On splitting 35 further and writing it as multiples of numbers it would be 7 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 1575. 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 1575. Let’s start with 3 x 3 x 5 x 5 x 7 as it results in 1575 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 1575 now and we can write as 3 x 3 x 5 x 5 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 3, 3, 5, 5, 7 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 1575 ?
Answer: Prime Factors of 1575 are 3 x 3 x 5 x 5 x 7.
2. What are the Prime Factors of 1575 ?
Answer: Prime Factors of 1575 are 3 x 3 x 5 x 5 x 7.