Q: What are the factor combinations of the number 20,035,673?

 A:
Positive:   1 x 200356737 x 286223917 x 1178569101 x 198373119 x 168367707 x 283391667 x 120191717 x 11669
Negative: -1 x -20035673-7 x -2862239-17 x -1178569-101 x -198373-119 x -168367-707 x -28339-1667 x -12019-1717 x -11669


How do I find the factor combinations of the number 20,035,673?

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 20,035,673, 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 20,035,673
-1 -20,035,673

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 20,035,673.

Example:
1 x 20,035,673 = 20,035,673
and
-1 x -20,035,673 = 20,035,673
Notice both answers equal 20,035,673

With that explanation out of the way, let's continue. Next, we take the number 20,035,673 and divide it by 2:

20,035,673 ÷ 2 = 10,017,836.5

If the quotient is a whole number, then 2 and 10,017,836.5 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 20,035,673
-1 -20,035,673

Now, we try dividing 20,035,673 by 3:

20,035,673 ÷ 3 = 6,678,557.6667

If the quotient is a whole number, then 3 and 6,678,557.6667 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 20,035,673
-1 -20,035,673

Let's try dividing by 4:

20,035,673 ÷ 4 = 5,008,918.25

If the quotient is a whole number, then 4 and 5,008,918.25 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 20,035,673
-1 20,035,673
Keep dividing by the next highest number until you cannot divide anymore.

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

17171011197071,6671,71711,66912,01928,339168,367198,3731,178,5692,862,23920,035,673
-1-7-17-101-119-707-1,667-1,717-11,669-12,019-28,339-168,367-198,373-1,178,569-2,862,239-20,035,673

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