Q: What are the factor combinations of the number 273,111,443?

 A:
Positive:   1 x 27311144311 x 2482831317 x 16065379181 x 1508903187 x 14604891991 x 1371733077 x 887598069 x 33847
Negative: -1 x -273111443-11 x -24828313-17 x -16065379-181 x -1508903-187 x -1460489-1991 x -137173-3077 x -88759-8069 x -33847


How do I find the factor combinations of the number 273,111,443?

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 273,111,443, 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.

1 273,111,443
-1 -273,111,443

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 273,111,443.

Example:
1 x 273,111,443 = 273,111,443
and
-1 x -273,111,443 = 273,111,443
Notice both answers equal 273,111,443

With that explanation out of the way, let's continue. Next, we take the number 273,111,443 and divide it by 2:

273,111,443 ÷ 2 = 136,555,721.5

If the quotient is a whole number, then 2 and 136,555,721.5 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:

1 273,111,443
-1 -273,111,443

Now, we try dividing 273,111,443 by 3:

273,111,443 ÷ 3 = 91,037,147.6667

If the quotient is a whole number, then 3 and 91,037,147.6667 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:

1 273,111,443
-1 -273,111,443

Let's try dividing by 4:

273,111,443 ÷ 4 = 68,277,860.75

If the quotient is a whole number, then 4 and 68,277,860.75 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:

1 273,111,443
-1 273,111,443
Keep dividing by the next highest number until you cannot divide anymore.

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

111171811871,9913,0778,06933,84788,759137,1731,460,4891,508,90316,065,37924,828,313273,111,443
-1-11-17-181-187-1,991-3,077-8,069-33,847-88,759-137,173-1,460,489-1,508,903-16,065,379-24,828,313-273,111,443

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