Q: What are the factor combinations of the number 272,004,109?

 A:
Positive:   1 x 27200410913 x 2092339353 x 5132153211 x 1289119689 x 3947811871 x 1453792743 x 9916311183 x 24323
Negative: -1 x -272004109-13 x -20923393-53 x -5132153-211 x -1289119-689 x -394781-1871 x -145379-2743 x -99163-11183 x -24323


How do I find the factor combinations of the number 272,004,109?

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 272,004,109, 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.

1 272,004,109
-1 -272,004,109

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 272,004,109.

Example:
1 x 272,004,109 = 272,004,109
and
-1 x -272,004,109 = 272,004,109
Notice both answers equal 272,004,109

With that explanation out of the way, let's continue. Next, we take the number 272,004,109 and divide it by 2:

272,004,109 ÷ 2 = 136,002,054.5

If the quotient is a whole number, then 2 and 136,002,054.5 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:

1 272,004,109
-1 -272,004,109

Now, we try dividing 272,004,109 by 3:

272,004,109 ÷ 3 = 90,668,036.3333

If the quotient is a whole number, then 3 and 90,668,036.3333 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:

1 272,004,109
-1 -272,004,109

Let's try dividing by 4:

272,004,109 ÷ 4 = 68,001,027.25

If the quotient is a whole number, then 4 and 68,001,027.25 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:

1 272,004,109
-1 272,004,109
Keep dividing by the next highest number until you cannot divide anymore.

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

113532116891,8712,74311,18324,32399,163145,379394,7811,289,1195,132,15320,923,393272,004,109
-1-13-53-211-689-1,871-2,743-11,183-24,323-99,163-145,379-394,781-1,289,119-5,132,153-20,923,393-272,004,109

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