Q: What are the factor combinations of the number 15,319,997?

 A:
Positive:   1 x 153199977 x 218857111 x 139272743 x 35627949 x 31265377 x 198961301 x 50897473 x 32389539 x 28423661 x 231772107 x 72713311 x 4627
Negative: -1 x -15319997-7 x -2188571-11 x -1392727-43 x -356279-49 x -312653-77 x -198961-301 x -50897-473 x -32389-539 x -28423-661 x -23177-2107 x -7271-3311 x -4627


How do I find the factor combinations of the number 15,319,997?

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 15,319,997, 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 15,319,997
-1 -15,319,997

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 15,319,997.

Example:
1 x 15,319,997 = 15,319,997
and
-1 x -15,319,997 = 15,319,997
Notice both answers equal 15,319,997

With that explanation out of the way, let's continue. Next, we take the number 15,319,997 and divide it by 2:

15,319,997 ÷ 2 = 7,659,998.5

If the quotient is a whole number, then 2 and 7,659,998.5 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 15,319,997
-1 -15,319,997

Now, we try dividing 15,319,997 by 3:

15,319,997 ÷ 3 = 5,106,665.6667

If the quotient is a whole number, then 3 and 5,106,665.6667 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 15,319,997
-1 -15,319,997

Let's try dividing by 4:

15,319,997 ÷ 4 = 3,829,999.25

If the quotient is a whole number, then 4 and 3,829,999.25 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 15,319,997
-1 15,319,997
Keep dividing by the next highest number until you cannot divide anymore.

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

17114349773014735396612,1073,3114,6277,27123,17728,42332,38950,897198,961312,653356,2791,392,7272,188,57115,319,997
-1-7-11-43-49-77-301-473-539-661-2,107-3,311-4,627-7,271-23,177-28,423-32,389-50,897-198,961-312,653-356,279-1,392,727-2,188,571-15,319,997

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