Q: What are the factor combinations of the number 273,050,869?

 A:
Positive:   1 x 2730508697 x 3900726713 x 2100391391 x 3000559557 x 4902173899 x 700315387 x 506877241 x 37709
Negative: -1 x -273050869-7 x -39007267-13 x -21003913-91 x -3000559-557 x -490217-3899 x -70031-5387 x -50687-7241 x -37709


How do I find the factor combinations of the number 273,050,869?

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 273,050,869, 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.

1 273,050,869
-1 -273,050,869

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 273,050,869.

Example:
1 x 273,050,869 = 273,050,869
and
-1 x -273,050,869 = 273,050,869
Notice both answers equal 273,050,869

With that explanation out of the way, let's continue. Next, we take the number 273,050,869 and divide it by 2:

273,050,869 ÷ 2 = 136,525,434.5

If the quotient is a whole number, then 2 and 136,525,434.5 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:

1 273,050,869
-1 -273,050,869

Now, we try dividing 273,050,869 by 3:

273,050,869 ÷ 3 = 91,016,956.3333

If the quotient is a whole number, then 3 and 91,016,956.3333 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:

1 273,050,869
-1 -273,050,869

Let's try dividing by 4:

273,050,869 ÷ 4 = 68,262,717.25

If the quotient is a whole number, then 4 and 68,262,717.25 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:

1 273,050,869
-1 273,050,869
Keep dividing by the next highest number until you cannot divide anymore.

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

1713915573,8995,3877,24137,70950,68770,031490,2173,000,55921,003,91339,007,267273,050,869
-1-7-13-91-557-3,899-5,387-7,241-37,709-50,687-70,031-490,217-3,000,559-21,003,913-39,007,267-273,050,869

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