Q: What are the factor combinations of the number 273,635,555?

 A:
Positive:   1 x 2736355555 x 5472711153 x 5162935265 x 1032587313 x 8742351565 x 1748473299 x 8294516495 x 16589
Negative: -1 x -273635555-5 x -54727111-53 x -5162935-265 x -1032587-313 x -874235-1565 x -174847-3299 x -82945-16495 x -16589


How do I find the factor combinations of the number 273,635,555?

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 273,635,555, 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.

1 273,635,555
-1 -273,635,555

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 273,635,555.

Example:
1 x 273,635,555 = 273,635,555
and
-1 x -273,635,555 = 273,635,555
Notice both answers equal 273,635,555

With that explanation out of the way, let's continue. Next, we take the number 273,635,555 and divide it by 2:

273,635,555 ÷ 2 = 136,817,777.5

If the quotient is a whole number, then 2 and 136,817,777.5 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:

1 273,635,555
-1 -273,635,555

Now, we try dividing 273,635,555 by 3:

273,635,555 ÷ 3 = 91,211,851.6667

If the quotient is a whole number, then 3 and 91,211,851.6667 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:

1 273,635,555
-1 -273,635,555

Let's try dividing by 4:

273,635,555 ÷ 4 = 68,408,888.75

If the quotient is a whole number, then 4 and 68,408,888.75 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:

1 273,635,555
-1 273,635,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15532653131,5653,29916,49516,58982,945174,847874,2351,032,5875,162,93554,727,111273,635,555
-1-5-53-265-313-1,565-3,299-16,495-16,589-82,945-174,847-874,235-1,032,587-5,162,935-54,727,111-273,635,555

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