Q: What are the factor combinations of the number 19,709,707?

 A:
Positive:   1 x 1970970719 x 103735331 x 635797109 x 180823307 x 64201589 x 334632071 x 95173379 x 5833
Negative: -1 x -19709707-19 x -1037353-31 x -635797-109 x -180823-307 x -64201-589 x -33463-2071 x -9517-3379 x -5833


How do I find the factor combinations of the number 19,709,707?

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 19,709,707, 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 19,709,707
-1 -19,709,707

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 19,709,707.

Example:
1 x 19,709,707 = 19,709,707
and
-1 x -19,709,707 = 19,709,707
Notice both answers equal 19,709,707

With that explanation out of the way, let's continue. Next, we take the number 19,709,707 and divide it by 2:

19,709,707 ÷ 2 = 9,854,853.5

If the quotient is a whole number, then 2 and 9,854,853.5 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 19,709,707
-1 -19,709,707

Now, we try dividing 19,709,707 by 3:

19,709,707 ÷ 3 = 6,569,902.3333

If the quotient is a whole number, then 3 and 6,569,902.3333 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 19,709,707
-1 -19,709,707

Let's try dividing by 4:

19,709,707 ÷ 4 = 4,927,426.75

If the quotient is a whole number, then 4 and 4,927,426.75 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 19,709,707
-1 19,709,707
Keep dividing by the next highest number until you cannot divide anymore.

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

119311093075892,0713,3795,8339,51733,46364,201180,823635,7971,037,35319,709,707
-1-19-31-109-307-589-2,071-3,379-5,833-9,517-33,463-64,201-180,823-635,797-1,037,353-19,709,707

More Examples

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