Q: What are the factor combinations of the number 273,064,363?

 A:
Positive:   1 x 27306436311 x 2482403313 x 21004951143 x 1909541347 x 7869293817 x 715394511 x 605335503 x 49621
Negative: -1 x -273064363-11 x -24824033-13 x -21004951-143 x -1909541-347 x -786929-3817 x -71539-4511 x -60533-5503 x -49621


How do I find the factor combinations of the number 273,064,363?

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 273,064,363, 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.

1 273,064,363
-1 -273,064,363

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 273,064,363.

Example:
1 x 273,064,363 = 273,064,363
and
-1 x -273,064,363 = 273,064,363
Notice both answers equal 273,064,363

With that explanation out of the way, let's continue. Next, we take the number 273,064,363 and divide it by 2:

273,064,363 ÷ 2 = 136,532,181.5

If the quotient is a whole number, then 2 and 136,532,181.5 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:

1 273,064,363
-1 -273,064,363

Now, we try dividing 273,064,363 by 3:

273,064,363 ÷ 3 = 91,021,454.3333

If the quotient is a whole number, then 3 and 91,021,454.3333 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:

1 273,064,363
-1 -273,064,363

Let's try dividing by 4:

273,064,363 ÷ 4 = 68,266,090.75

If the quotient is a whole number, then 4 and 68,266,090.75 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:

1 273,064,363
-1 273,064,363
Keep dividing by the next highest number until you cannot divide anymore.

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

111131433473,8174,5115,50349,62160,53371,539786,9291,909,54121,004,95124,824,033273,064,363
-1-11-13-143-347-3,817-4,511-5,503-49,621-60,533-71,539-786,929-1,909,541-21,004,951-24,824,033-273,064,363

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