# Prime Factorisation Calculator

Created By : Jatin Gogia
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 28,2023

Make your calculations faster taking the help of the Prime Factorisation Calculator. This user-friendly tool helps you calculate the prime factorization of large numbers in a fraction of seconds after you provide the inputs and hit the calculate button.

Please type a positive integer number and hit 'Calculate Factors' button find the prime factors.

Factors of:

Prime Factorisation Calculator: Whether you are seeking help regarding the prime factor calculation of large numbers or small ones, this is the tool for you. Continue reading to know more about Prime Factorization and the rules to observe in the forthcoming modules. Check out the step-by-step procedure to solve the Factorization. Get a better grip on the idea by having a glimpse at the solved examples displaying the detailed work.

Here are some samples of Prime Factorisation calculations.

Related Calculators:

### Table of Factors from 1 to 100

 Number Factors Prime or Composite 1 1 Neither prime nor composite 2 1, 2 Prime 3 1, 3 Prime 4 1, 2, 4 Composite 5 1, 5 Prime 6 1, 2, 3, 6 Composite 7 1, 7 Prime 8 1, 2, 4, 8 Composite 9 1, 3, 9 Composite 10 1, 2, 5, 10 Composite 11 1, 11 Prime 12 1, 2, 3, 4, 6, 12 Composite 13 1, 13 Prime 14 1, 2, 7, 14 Composite 15 1, 3, 5, 15 Composite 16 1, 2, 4, 8, 16 Composite 17 1, 17 Prime 18 1, 2, 3, 6, 9, 18 Composite 19 1, 19 Prime 20 1, 2, 4, 5, 10, 20 Composite 21 1, 3, 7, 21 Composite 22 1, 2, 11, 22 Composite 23 1, 23 Prime 24 1, 2, 3, 4, 6, 8, 12, 24 Composite 25 1, 5, 25 Composite 26 1, 2, 13, 26 Composite 27 1, 3, 9, 27 Composite 28 1, 2, 4, 7, 14, 28 Composite 29 1, 29 Prime 30 1, 2, 3, 5, 6, 10, 15, 30 Composite 31 1, 31 Prime 32 1, 2, 4, 8, 16, 32 Composite 33 1, 3, 11, 33 Composite 34 1, 2, 17, 34 Composite 35 1, 5, 7, 35 Composite 36 1, 2, 3, 4, 6, 9, 12, 18, 36 Composite 37 1, 37 Prime 38 1, 2, 19, 38 Composite 39 1, 3, 13, 39 Composite 40 1, 2, 4, 5, 8, 10, 20, 40 Composite 41 1, 41 Prime 42 1, 2, 3, 6, 7, 14, 21, 42 Composite 43 1, 43 Prime 44 1, 2, 4, 11, 22, 44 Composite 45 1, 3, 5, 9, 15, 45 Composite 46 1, 2, 23, 46 Composite 47 1, 47 Prime 48 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 Composite 49 1, 7, 49 Composite 50 1, 2, 5, 10, 25, 50 Composite 51 1, 3, 17, 51 Composite 52 1, 2, 4, 13, 26, 52 Composite 53 1, 53 Prime 54 1, 2, 3, 6, 9, 18, 27, 54 Composite 55 1, 5, 11, 55 Composite 56 1, 2, 4, 7, 8, 14, 28, 56 Composite 57 1, 3, 19, 57 Composite 58 1, 2, 29, 58 Composite 59 1, 59 Prime 60 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 Composite 61 1, 61 Prime 62 1, 2, 31, 62 Composite 63 1, 3, 7, 9, 21, 63 Composite 64 1, 2, 4, 8, 16, 32, 64 Composite 65 1, 5, 13, 65 Composite 66 1, 2, 3, 6, 11, 22, 33, 66 Composite 67 1, 67 Prime 68 1, 2, 4, 17, 34, 68 Composite 69 1, 3, 23, 69 Composite 70 1, 2, 5, 7, 10, 14, 35, 70 Composite 71 1, 71 Prime 72 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 Composite 73 1, 73 Prime 74 1, 2, 37, 74 Composite 75 1, 3, 5, 15, 25, 75 Composite 76 1, 2, 4, 19, 38, 76 Composite 77 1, 7, 11, 77 Composite 78 1, 2, 3, 6, 13, 26, 39, 78 Composite 79 1, 79 Prime 80 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 Composite 81 1, 3, 9, 27, 81 Composite 82 1, 2, 41, 82 Composite 83 1, 83 Prime 84 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 Composite 85 1, 5, 17, 85 Composite 86 1, 2, 43, 86 Composite 87 1, 3, 29, 87 Composite 88 1, 2, 4, 8, 11, 22, 44, 88 Composite 89 1, 89 Prime 90 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 Composite 91 1, 7, 13, 91 Composite 92 1, 2, 4, 23, 46, 92 Composite 93 1, 3, 31, 93 Composite 94 1, 2, 47, 94 Composite 95 1, 5, 19, 95 Composite 96 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 Composite 97 1, 97 Prime 98 1, 2, 7, 14, 49, 98 Composite 99 1, 3, 9, 11, 33, 99 Composite 100 1, 2, 4, 5, 10, 20, 25, 50, 100 Composite

The prime factorisation calculator can help you to find prime factors of any integer number up to 1 trillion. Just enter the number here in the calculator and within no time you’ll get the prime factorisation.

Prime Factorisation Calculator various applications:

• Check Prime factors of an integer number up to 1 trillion
• Also, it can check either a number is prime or not
• Prime decomposition in an exponential way
• Make a list of all positive prime numbers smaller than the number you entered and calculate them
• Comma-separated Values (CSV) of prime factors

### What is the Definition of Prime Factorisation?

Prime Factorisation is to find the prime factor of any given number which is a composite number. The factors are nothing but prime numbers. A prime number has 2 factors. For eg. the number 1 and the number itself.

### How to find out Prime Factorization using Trial Division

The prime number used in the Trial Division method is to calculate the Prime Factorisation.

The steps given below are to calculate the prime Factorization of numbers using the Trial Division method.

1. Firstly, we need to determine the factors of any number.
2. Suppose you start diving with the smallest number which is 3,5 and so on; these are small prime factors of the given number.
3. Again, you divide the quotient with the smallest prime number.
4. You can Repeat the process until the quotient becomes 1 after the division.
5. So finally you get the product for the prime factor.

### How to Find out Prime Factorisation using Prime Decomposition

It is another simple way to conduct prime factorization which is refreshing to prime decomposition, which involves using the factor tree.

Steps are given below to find out prime factorization using Prime Decomposition

1. You have to keep the central position as the root.
2. Then divide the small prime number as a factor which represents the one branch of that prime factor number.
3. You represent the quotient that is obtained in another branch and repeat the above point until you don’t obtain 1 as a factor given a prime number.
4. Each branch of the tree will be obtained as a prime number.

### Solved Example to Calculate the Prime Factors of a Positive Integer

Example:

Find out the Prime Factor for Positive integer 6.

Solution:

First, divide 6 with the smallest prime number, 2.

On dividing, we will get, 3 as quotient.

Since 3 is a prime number, divisible by 3.

Now, on dividing, we get 1 as the quotient.

Finally, we get the prime factors of 6 = 2 and 3.

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### FAQs on Prime Factor Calculator Large Numbers with Steps

1. What is a prime number?

Prime numbers are numbers greater than 1 and have two factors only,1 and the number itself.

2. What is the prime factorisation of 4?

4 is an even composite number and the Prime factorization of 4 is 2 ×2.

3. What is the prime factorisation of 5?

5 is a Prime number and there are two factors of 5, 1 and 5.

4. Why find Prime Factors?

Prime factors are known as the basic blocks of all numbers. Prime Factorization is usually helpful in Cryptography while dealing with large numbers.