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Prime Factorisation Calculator

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.

Ex: Prime Factors of 25 (or) Prime Factors of 46 (or) Prime Factors of 57

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.