Q: What are the factor combinations of the number 273,118,331?

 A:
Positive:   1 x 27311833119 x 1437464967 x 407639373 x 37413471273 x 2145471387 x 1969132939 x 929294891 x 55841
Negative: -1 x -273118331-19 x -14374649-67 x -4076393-73 x -3741347-1273 x -214547-1387 x -196913-2939 x -92929-4891 x -55841


How do I find the factor combinations of the number 273,118,331?

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 273,118,331, 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.

1 273,118,331
-1 -273,118,331

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 273,118,331.

Example:
1 x 273,118,331 = 273,118,331
and
-1 x -273,118,331 = 273,118,331
Notice both answers equal 273,118,331

With that explanation out of the way, let's continue. Next, we take the number 273,118,331 and divide it by 2:

273,118,331 ÷ 2 = 136,559,165.5

If the quotient is a whole number, then 2 and 136,559,165.5 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:

1 273,118,331
-1 -273,118,331

Now, we try dividing 273,118,331 by 3:

273,118,331 ÷ 3 = 91,039,443.6667

If the quotient is a whole number, then 3 and 91,039,443.6667 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:

1 273,118,331
-1 -273,118,331

Let's try dividing by 4:

273,118,331 ÷ 4 = 68,279,582.75

If the quotient is a whole number, then 4 and 68,279,582.75 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:

1 273,118,331
-1 273,118,331
Keep dividing by the next highest number until you cannot divide anymore.

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

11967731,2731,3872,9394,89155,84192,929196,913214,5473,741,3474,076,39314,374,649273,118,331
-1-19-67-73-1,273-1,387-2,939-4,891-55,841-92,929-196,913-214,547-3,741,347-4,076,393-14,374,649-273,118,331

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