Factor Tree of 10500
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 11, 2023
Make your calculations faster of finding a Factor Tree of 10500 and expressing it as multiples of 2, 2, 3, 5, 5, 5, 7 by using the Factor Tree Calculator
A factor tree is a special diagram where we find the factors of a number and then factors of those numbers until we can’t factor them anymore. In the end, what we get are all the prime factors of the original number.
Factor Tree of 10500 is the list of prime numbers when multiplied results in original number 10500.
Factor Tree Calculator is an online tool that displays the factors of a given number. This online handy calculator makes the calculations easy and faster for you. Enter the number in the input field. Click on the 'calculate' button and you will get the factors. It Displays the factors in a fraction of seconds.
Factor Tree of 10500 is 2 x 2 x 3 x 5 x 5 x 5 x 7
| 10500 | ||||||||||||
| 2 | 5250 | |||||||||||
| 2 | 2625 | |||||||||||
| 3 | 875 | |||||||||||
| 5 | 175 | |||||||||||
| 5 | 35 | |||||||||||
| 5 | 7 | |||||||||||
10500 = 2 x 5250
5250 = 2 x 2625
2625 = 3 x 875
875 = 5 x 175
175 = 5 x 35
35 = 5 x 7
If we write into multiples it would be 10500 x 2
On splitting 5250 further and writing it as multiples of numbers it would be 2625 x 2.
On splitting 2625 further and writing it as multiples of numbers it would be 875 x 3.
On splitting 875 further and writing it as multiples of numbers it would be 175 x 5.
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.
Altogether expressing the number in terms of prime factors would be 2 x 2 x 3 x 5 x 5 x 5 x 7.
Learn more about Factors of 10500 from here & easily calculate the factors using Factoring Calculator.
Factor Tree Calculations
Here are examples of Factor tree calculations.
How to find Factor Tree of 10500
Splitting Numbers
We can split the number into any of its two factors. In other words, we are finding the numbers that when multiplied together give 10500. Let’s start with 2 x 2 x 3 x 5 x 5 x 5 x 7 as it results in 10500 on multiplying. Just like in any family tree we are now going to find the factors or ancestors of splited factors.
Let’s begin with smallest prime factor and on breaking down factor we get factors by breaking down. This could go on as divided factors are the only factors of that base factor. As per the factor tree, we would stop at the prime numbers i.e. prime factors to stop the infinite chain of the same factors.
Prime Factors
Let’s look out 10500 now and we can write it as 2 x 2 x 3 x 5 x 5 x 5 x 7 and place those factors on the tree. similar to prime numbers in the initial step 2, 2, 3, 5, 5, 5, 7 obtained here are also prime numbers and we will end up these branches.
Frequently Asked Questions on Factor Tree of 10500
1. What is factor tree?
Answer: A factor tree is a tool that breaks down any number into its prime.
2. What are the prime Factorization?
Answer: Prime Factorization is the list of prime numbers that when multiplied gives a certain product.
3. How to find a Factor Tree of 10500?
Answer: Step 1:
Split the number given to factors
Step 2:
Look at the numbers and check if at least one of them is not prime.
If it is not prime repeat the process until all are prime.
∴ Factor tree of 10500 is 2 x 2 x 3 x 5 x 5 x 5 x 7
4. What are the Prime Factors of 10500?
Answer: Prime Factors of 10500 are 2 x 2 x 3 x 5 x 5 x 5 x 7.