6 Best Free Online Partition Number Calculator Websites
Here is a list of best free online partition number calculator websites. In number theory, a partition of a positive number n can be expressed as a sum of positive integers, where the order and summands don’t matter. For Example: partitions of number 4 are 4, 3+1, 2+2, 2+1+1, and 1+1+1+1. That means, p(4) = 5 as there are five ways to show the positive integer 4. Partition numbers are used in various fields like combinatorics, number theory, physics, etc. To find out the count of partition numbers and sum of summands equals a positive integer n, check out these online partition number calculators.
Through these websites, users can quickly perform partition number calculations. All these calculators can count the number of partitions for a given positive integer n. However, all these calculators cannot show the sum of summands equal to n. These websites also explain the partition number calculation to users with the help of examples. On some websites, users can also find the formulas and methods that they use to perform the partition number calculations. To help novice users, I have included the necessary calculation steps in the description of each website.
These websites also offer tools like Multiway Number Partitioning, Restricted Growth String Generator, Permutations Calculator, Combinations Calculator, and more. Go through the list to learn more about these websites.
My Favorite Online Partition Number Calculator Website:
decode.fr is my favorite website as it counts the partition of a given integer and shows all possible sum of summands equal to a given integer. Plus, it allows users to adjust multiple Partition Sizes and Decomposition Content values.
You can also check out lists of best free Online Azimuth Calculator, Online Cash Flow Calculator, and Online NAND Calculator websites.
Comparison Table:
| Features/Website Names | Calculates partition count | Shows sum of all summands equals to integer n | Explains partition number |
|---|---|---|---|
| decode.fr | ✓ | ✓ | ✓ |
| planetcalc.com | ✓ | ✓ | ✓ |
| wolframalpha.com | ✓ | ✓ | x |
| owlcalculator.com | ✓ | ✓ | ✓ |
| had2know.org | ✓ | x | ✓ |
| comnuan.com | ✓ | ✓ | ✓ |
decode.fr
decode.fr is a free online partition number calculator website. Using this website, users can find out all the distinct partitions that can be used to create a number N given by the users. Before doing that, users can adjust various Partition Sizes (all sizes, exactly M numbers, etc.) and Decomposition content (integer number from 1 to N, odd number from 1 to N, etc.) values. It also calculates the total number of all the possible partitions that can generate a given number. It also explains the partition of an integer number. Now, follow the below steps.
How to perform partition number calculation online using decode.fr:
- Visit this website and access the Partitions Calculator.
- After that, enter an Integer Number N.
- Now, choose one option from the partitions’ size and decomposition content sections.
- Next, click on the Generate button to view all possible partitions (sum of numbers) resulting in a given integer number N.
Additional Features:
- This website has multiple related tools like symbolic computation arithmetic, Base 26 Cipher, Divisors of a Number, Cryptography Tools, and more.
Final Thoughts:
It is one of the best free online partition number calculator websites that show all possible partitions of a given integer N and the count of partitions.
| Pros | Cons |
|---|---|
| Calculates count of partition and shows the sum of summands | |
| Allows users to adjust partition size and decomposition content parameters |
planetcalc.com
planetcalc.com is another free online partition number calculator website. Using this website, users can generate all possible partitions of a given positive integer number. However, it only supports Positive integers from 1 to 60. Apart from showing the sum of numbers making a given positive integer, it also shows the count of partitions. A small description highlighting the integer partition is also provided by it. It also gives an option to save all the partition numbers. Now, follow the below steps.
How to perform partition number calculation online using planetcalc.com:
- Go to this website and open up the Integer Partition.
- Now, enter a Positive Integer value.
- Next, click on the Calculate button to view all the possible partitions and count of partitions.
Additional Features:
- This website has multiple online tools such as Set Partitions Generator, Multiway Number Partitioning, restricted Growth String Generator, Math Worksheet Generator, and more.
Final Thoughts:
It is another good online partition number calculator website that helps users calculate all the partition numbers and their counts.
| Pros | Cons |
|---|---|
| Can also calculate the count of all partitions | |
| Describes Integer Partition |
wolframalpha.com
wolframalpha.com is another free online partition number calculator website. This website offers a simple partition calculator that counts all possible partitions of a positive integer number. It also shows the sum of all possible numbers that can make a given positive integer value. A graph comparing the size of the partition with the count is also generated by it. However, it doesn’t offer much information describing the partition numbers and their calculation. Now, follow the below steps.
How to perform partition number calculation online using wolframalpha.com:
- Visit this website using the given link.
- After that, enter a positive integer number in the count partitions of field.
- Next, click on the Submit button to view all partition numbers and their count.
- Finally, copy the results.
Additional Features:
- This website has multiple online calculators covering fields like Algebra, Engineering, Calculus & Analysis, Elementary Math, Personal Finance, and more.
Final Thoughts:
It is another good online partition number calculator website that shows the total number of partitions and all partition combinations.
| Pros | Cons |
|---|---|
| Can also calculate the count of all partitions | Lacks information related to partition numbers |
owlcalculator.com
owlcalculator.com is another free online partition number calculator website. This website offers a simple partition number calculator that helps users count the total number of partitions of a positive integer. It can also show all possible partitions of an integer of up to number 10. This website also explains partition numbers and shows the formula that it uses to calculate partition numbers. Now, follow the below steps.
How to perform partition number calculation online using owlcalculator.com:
- Go to this website and access the Partition Numbers Calculator.
- After that, enter the value of n.
- Next, view the calculated partitions and their count.
Additional Features:
- This website has inbuilt tools to calculate Permutations, Combinations, Power Sets, Lattice Paths, and Stirling Numbers.
Final Thoughts:
It is another good online partition number calculator website that helps users calculate partition number and their count.
| Pros | Cons |
|---|---|
| Calculates partition and partition count | Only shows all possible partition values for a positive integer of up to 10 |
| Shows calculation formula |
had2know.org
had2know.org is yet another free online partition number calculator website. This website offers an integer partition function calculator that only shows the partition count for a given positive integer n. It also explains the partition function calculation with the help of examples. An Asymptotic formula to calculate the partition number is also available. Now, follow the below steps.
How to perform partition number online using had2know.org:
- Launch this website and access the Integer Partition Function calculator.
- After that, enter the value of n.
- Next, choose the Compute P(n) option.
- Finally, click on the Calculate Integer partitions button to view the count of partitions for a given number n.
Additional Features:
- This website also offers multiple tools and calculators associated with Health, Computers, Automotive, Education, Entertainment, etc., fields.
Final Thoughts:
It is another simple online partition number calculator website that anyone can use to calculate the count of partitions for a given number.
| Pros | Cons |
|---|---|
| Shows calculation formula | Only calculates the count of partitions |
| Explains partition calculation with examples |
comnuan.com
comnuan.com is another free online partition number calculator website. Using this website, users can quickly count the total number of partitions for a given positive integer n. It also shows the sum of all possible numbers that are generating a given integer n. To help out users, it explains integer partition calculation with the help of examples. Now, follow the below steps.
How to perform partition number calculation online using comnuan.com:
- Visit this website and pen up the integer partition calculator.
- After that, enter the value of “n” in the input field.
- Next, click on the Calculate button to start the calculation process.
- Finally, view the partition count and sum of numbers that are equal to number (integer) n.
Additional Features:
- This website has additional online calculators such as Matrix Calculators, Integer and Fraction Calculators, Calculus Calculators, Geometry Calculators, and more.
Final Thoughts:
It is another good online partition number calculator website that helps users perform partition number calculations.
| Pros | Cons |
|---|---|
| Explains partition number calculation | |
| Shows all possible partitions and counts the number of partitions |
Frequently Asked Questions
A partition code typically refers to a computer program or code that calculates the number of partitions for a given positive integer using some algorithm or method.
Partitioning a number involves expressing it as a sum of positive integers. There are different algorithms and methods to achieve this. One common and efficient approach is to use dynamic programming.
The number of partitions for 6 is: 11
Let's take the number 5 as an example. We want to find the partitions of 5, which means expressing 5 as the sum of positive integers. Here are the partitions of 5: 5, 4 + 1, 3 + 2, 3 + 1 + 1, 2 + 2 + 1, 2 + 1 + 1 + 1, 1 + 1 + 1 + 1 + 1.
Naveen Kushwaha
Passionate about tech and science, always look for new tech solutions that can help me and others.
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