Q: What are the factor combinations of the number 20,214,535?

 A:
Positive:   1 x 202145355 x 404290711 x 183768555 x 367537157 x 128755785 x 257511727 x 117052341 x 8635
Negative: -1 x -20214535-5 x -4042907-11 x -1837685-55 x -367537-157 x -128755-785 x -25751-1727 x -11705-2341 x -8635


How do I find the factor combinations of the number 20,214,535?

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 20,214,535, 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 20,214,535
-1 -20,214,535

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 20,214,535.

Example:
1 x 20,214,535 = 20,214,535
and
-1 x -20,214,535 = 20,214,535
Notice both answers equal 20,214,535

With that explanation out of the way, let's continue. Next, we take the number 20,214,535 and divide it by 2:

20,214,535 ÷ 2 = 10,107,267.5

If the quotient is a whole number, then 2 and 10,107,267.5 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 20,214,535
-1 -20,214,535

Now, we try dividing 20,214,535 by 3:

20,214,535 ÷ 3 = 6,738,178.3333

If the quotient is a whole number, then 3 and 6,738,178.3333 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 20,214,535
-1 -20,214,535

Let's try dividing by 4:

20,214,535 ÷ 4 = 5,053,633.75

If the quotient is a whole number, then 4 and 5,053,633.75 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 20,214,535
-1 20,214,535
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551577851,7272,3418,63511,70525,751128,755367,5371,837,6854,042,90720,214,535
-1-5-11-55-157-785-1,727-2,341-8,635-11,705-25,751-128,755-367,537-1,837,685-4,042,907-20,214,535

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