BlogFactoring Calculator | Find Factors of a Number

Factoring Calculator | Find Factors of a Number

Factoring Calculator: If you ever need assistance with finding factors of a given number take the help of the online tool provided. Just enter the input integer and you will get the factors in the blink of an eye. Scroll down to find the detailed procedure on how to evaluate Factoring using different methods. To help you out, we even jotted down the solved examples showing step by step.

How to Factor Numbers?

Use the simple procedure on how to factor numbers using the trial division method. Following it you will arrive at the solution easily. They are along the lines

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    • Find the square root of an integer number n and round it to the closest number. Let the number be s
    • Start with 1 and find the corresponding factor pair n ÷ 1 = n. Thus 1, n are factor pairs as the division results in a whole number leaving a remainder zero.
    • Continue the process with number 2 and test all the integers (n ÷ 2, n ÷ 3, n ÷ 4… n ÷ s) through the square root rounded to s. List out the factor pairs wherein the remainder is zero.
    • By the time you have reached n ÷ s and noted all the factor pairs, you are done with the successful factoring of n.

    Get Top Notch Calculators of Maths included with a variety of concepts like area, perimeter, factor tree, percentages, algebra, trigonometric functions, etc. all at one place Onlinecalculator.

    Example

    What are the Factors of 14

    Solution:

    The Square root of 14 is 3.7416 and rounding it we get 4

    Testing the integer value 1 through 4 for the division into 14 and checking for the factors that leave a remainder zero.

    The numbers that leave a remainder zero when dividing the number 14 are 1, 2, 7, 14

    Factor Pairs are (1,14)(2,7)(7,2)(14,1)

    Factor Tree of 25 to evaluate the factors

    • Split the number 25 into two factors that can result in the same product after multiplication. That means 5*5 = 25
    • 5 is a Prime number and the procedure ends here as the numbers can’t be expressed as a product anymore. Factor Tree of 25 looks as under

     

    How to find Factors of 25?

    To find factors of 25 check for the numbers that divide 25 exactly and leaves a remainder zero. Check for all the integers that divide 25 by all the numbers up to 25. Make a note of numbers that results in the remainder zero.

    1, 5, 25 are factors that divide 25 leaving a remainder zero.

    Factoring Calculator | 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

    Example: All the factors of 12

    • 2 × 6 = 12,
    • but also 3 × 4 = 12,
    • and of course 1 × 12 = 12.

    So 1, 2, 3, 4, 6 and 12 are factors of 12.

    And also -1,-2,-3,-4,-6 and -12, because you get a positive number when you multiply two negatives, such as (-2)×(-6) = 12

    Answer: 1, 2, 3, 4, 6, 12, -1, -2, -3, -4, -6, -12

    Factoring Calculator – How Can I Do It Myself?

    Work from the outside in!

    Example: All the factors of 20.

    Start at 1: 1×20=20, so put 1 at the start, and put its “partner” 20 at the other end:

    1 20

    Then try 2. 2×10=20 works, so put in 2 and 10:

    1 2 10 20

    Then try 3. 3 doesn’t work (3×6=18 is too low, 3×7=21 is too high).

    Then try 4. 4×5=20 works, so put them in:

    1 2 4 5 10 20

    There is no whole number between 4 and 5 so you are done! (Don’t forget the negative ones).

    1 2 4 5 10 20
    -1 -2 -4 -5 -10 -20

    FAQs on Factoring Numbers | Factors of a Number Calculator

    1. What is a factor?

    A factor is a number that divides into another number exactly and without leaving a remainder.

    2. How to find factoring of numbers easily?

    Take the help of the Factoring Calculator to find factors of given numbers in the blink of an eye.

    3. Where do I get a detailed procedure on Factoring Numbers?

    You can get a detailed procedure on factoring numbers on our page.

    4. Where can I find Solved Examples on Factoring?

    You can find Solved Examples on Factoring provided with detailed steps on our page.

    5. What are the Factors of 25?

    Factors of 25 are 1, 5, 25.

    6. How to find Factors of 25?

    You can find Factors of 25 by simply dividing with all the integers up to 25. Factors are those numbers that leave a remainder zero.

    7. Where do I get the detailed procedures on finding factors of 25?

    You can get a detailed procedure on finding factors of 25 on our page.

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