Q: What are the factor combinations of the number 273,223,831?

 A:
Positive:   1 x 27322383123 x 1187929747 x 5813273197 x 13869231081 x 2527511283 x 2129574531 x 603019259 x 29509
Negative: -1 x -273223831-23 x -11879297-47 x -5813273-197 x -1386923-1081 x -252751-1283 x -212957-4531 x -60301-9259 x -29509


How do I find the factor combinations of the number 273,223,831?

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 273,223,831, 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.

1 273,223,831
-1 -273,223,831

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 273,223,831.

Example:
1 x 273,223,831 = 273,223,831
and
-1 x -273,223,831 = 273,223,831
Notice both answers equal 273,223,831

With that explanation out of the way, let's continue. Next, we take the number 273,223,831 and divide it by 2:

273,223,831 ÷ 2 = 136,611,915.5

If the quotient is a whole number, then 2 and 136,611,915.5 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:

1 273,223,831
-1 -273,223,831

Now, we try dividing 273,223,831 by 3:

273,223,831 ÷ 3 = 91,074,610.3333

If the quotient is a whole number, then 3 and 91,074,610.3333 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:

1 273,223,831
-1 -273,223,831

Let's try dividing by 4:

273,223,831 ÷ 4 = 68,305,957.75

If the quotient is a whole number, then 4 and 68,305,957.75 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:

1 273,223,831
-1 273,223,831
Keep dividing by the next highest number until you cannot divide anymore.

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

123471971,0811,2834,5319,25929,50960,301212,957252,7511,386,9235,813,27311,879,297273,223,831
-1-23-47-197-1,081-1,283-4,531-9,259-29,509-60,301-212,957-252,751-1,386,923-5,813,273-11,879,297-273,223,831

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