Q: What are the factor combinations of the number 19,389,023?

 A:
Positive:   1 x 1938902323 x 84300129 x 66858741 x 472903667 x 29069709 x 27347943 x 205611189 x 16307
Negative: -1 x -19389023-23 x -843001-29 x -668587-41 x -472903-667 x -29069-709 x -27347-943 x -20561-1189 x -16307


How do I find the factor combinations of the number 19,389,023?

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 19,389,023, 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 19,389,023
-1 -19,389,023

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 19,389,023.

Example:
1 x 19,389,023 = 19,389,023
and
-1 x -19,389,023 = 19,389,023
Notice both answers equal 19,389,023

With that explanation out of the way, let's continue. Next, we take the number 19,389,023 and divide it by 2:

19,389,023 ÷ 2 = 9,694,511.5

If the quotient is a whole number, then 2 and 9,694,511.5 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 19,389,023
-1 -19,389,023

Now, we try dividing 19,389,023 by 3:

19,389,023 ÷ 3 = 6,463,007.6667

If the quotient is a whole number, then 3 and 6,463,007.6667 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 19,389,023
-1 -19,389,023

Let's try dividing by 4:

19,389,023 ÷ 4 = 4,847,255.75

If the quotient is a whole number, then 4 and 4,847,255.75 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 19,389,023
-1 19,389,023
Keep dividing by the next highest number until you cannot divide anymore.

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

12329416677099431,18916,30720,56127,34729,069472,903668,587843,00119,389,023
-1-23-29-41-667-709-943-1,189-16,307-20,561-27,347-29,069-472,903-668,587-843,001-19,389,023

More Examples

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