Q: What are the factor combinations of the number 19,816,979?

 A:
Positive:   1 x 198169797 x 283099713 x 152438359 x 33588191 x 217769413 x 47983767 x 258373691 x 5369
Negative: -1 x -19816979-7 x -2830997-13 x -1524383-59 x -335881-91 x -217769-413 x -47983-767 x -25837-3691 x -5369


How do I find the factor combinations of the number 19,816,979?

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 19,816,979, 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 19,816,979
-1 -19,816,979

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 19,816,979.

Example:
1 x 19,816,979 = 19,816,979
and
-1 x -19,816,979 = 19,816,979
Notice both answers equal 19,816,979

With that explanation out of the way, let's continue. Next, we take the number 19,816,979 and divide it by 2:

19,816,979 ÷ 2 = 9,908,489.5

If the quotient is a whole number, then 2 and 9,908,489.5 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 19,816,979
-1 -19,816,979

Now, we try dividing 19,816,979 by 3:

19,816,979 ÷ 3 = 6,605,659.6667

If the quotient is a whole number, then 3 and 6,605,659.6667 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 19,816,979
-1 -19,816,979

Let's try dividing by 4:

19,816,979 ÷ 4 = 4,954,244.75

If the quotient is a whole number, then 4 and 4,954,244.75 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 19,816,979
-1 19,816,979
Keep dividing by the next highest number until you cannot divide anymore.

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

171359914137673,6915,36925,83747,983217,769335,8811,524,3832,830,99719,816,979
-1-7-13-59-91-413-767-3,691-5,369-25,837-47,983-217,769-335,881-1,524,383-2,830,997-19,816,979

More Examples

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