Q: What are the factor combinations of the number 20,443,115?

 A:
Positive:   1 x 204431155 x 40886237 x 292044511 x 185846529 x 70493535 x 58408955 x 37169377 x 265495145 x 140987203 x 100705319 x 64085385 x 530991015 x 201411595 x 128171831 x 111652233 x 9155
Negative: -1 x -20443115-5 x -4088623-7 x -2920445-11 x -1858465-29 x -704935-35 x -584089-55 x -371693-77 x -265495-145 x -140987-203 x -100705-319 x -64085-385 x -53099-1015 x -20141-1595 x -12817-1831 x -11165-2233 x -9155


How do I find the factor combinations of the number 20,443,115?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 20,443,115, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 20,443,115
-1 -20,443,115

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 20,443,115.

Example:
1 x 20,443,115 = 20,443,115
and
-1 x -20,443,115 = 20,443,115
Notice both answers equal 20,443,115

With that explanation out of the way, let's continue. Next, we take the number 20,443,115 and divide it by 2:

20,443,115 ÷ 2 = 10,221,557.5

If the quotient is a whole number, then 2 and 10,221,557.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 20,443,115
-1 -20,443,115

Now, we try dividing 20,443,115 by 3:

20,443,115 ÷ 3 = 6,814,371.6667

If the quotient is a whole number, then 3 and 6,814,371.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 20,443,115
-1 -20,443,115

Let's try dividing by 4:

20,443,115 ÷ 4 = 5,110,778.75

If the quotient is a whole number, then 4 and 5,110,778.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 20,443,115
-1 20,443,115
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15711293555771452033193851,0151,5951,8312,2339,15511,16512,81720,14153,09964,085100,705140,987265,495371,693584,089704,9351,858,4652,920,4454,088,62320,443,115
-1-5-7-11-29-35-55-77-145-203-319-385-1,015-1,595-1,831-2,233-9,155-11,165-12,817-20,141-53,099-64,085-100,705-140,987-265,495-371,693-584,089-704,935-1,858,465-2,920,445-4,088,623-20,443,115

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