Q: What are the factor combinations of the number 20,005,535?

 A:
Positive:   1 x 200055355 x 400110711 x 181868543 x 46524555 x 363737121 x 165335215 x 93049473 x 42295605 x 33067769 x 260152365 x 84593845 x 5203
Negative: -1 x -20005535-5 x -4001107-11 x -1818685-43 x -465245-55 x -363737-121 x -165335-215 x -93049-473 x -42295-605 x -33067-769 x -26015-2365 x -8459-3845 x -5203


How do I find the factor combinations of the number 20,005,535?

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 20,005,535, 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 20,005,535
-1 -20,005,535

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 20,005,535.

Example:
1 x 20,005,535 = 20,005,535
and
-1 x -20,005,535 = 20,005,535
Notice both answers equal 20,005,535

With that explanation out of the way, let's continue. Next, we take the number 20,005,535 and divide it by 2:

20,005,535 ÷ 2 = 10,002,767.5

If the quotient is a whole number, then 2 and 10,002,767.5 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 20,005,535
-1 -20,005,535

Now, we try dividing 20,005,535 by 3:

20,005,535 ÷ 3 = 6,668,511.6667

If the quotient is a whole number, then 3 and 6,668,511.6667 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 20,005,535
-1 -20,005,535

Let's try dividing by 4:

20,005,535 ÷ 4 = 5,001,383.75

If the quotient is a whole number, then 4 and 5,001,383.75 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 20,005,535
-1 20,005,535
Keep dividing by the next highest number until you cannot divide anymore.

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

151143551212154736057692,3653,8455,2038,45926,01533,06742,29593,049165,335363,737465,2451,818,6854,001,10720,005,535
-1-5-11-43-55-121-215-473-605-769-2,365-3,845-5,203-8,459-26,015-33,067-42,295-93,049-165,335-363,737-465,245-1,818,685-4,001,107-20,005,535

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