Q: What are the factor combinations of the number 273,635,531?

 A:
Positive:   1 x 27363553113 x 2104888723 x 1189719743 x 6363617299 x 915169559 x 489509989 x 27667912857 x 21283
Negative: -1 x -273635531-13 x -21048887-23 x -11897197-43 x -6363617-299 x -915169-559 x -489509-989 x -276679-12857 x -21283


How do I find the factor combinations of the number 273,635,531?

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 273,635,531, 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.

1 273,635,531
-1 -273,635,531

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 273,635,531.

Example:
1 x 273,635,531 = 273,635,531
and
-1 x -273,635,531 = 273,635,531
Notice both answers equal 273,635,531

With that explanation out of the way, let's continue. Next, we take the number 273,635,531 and divide it by 2:

273,635,531 ÷ 2 = 136,817,765.5

If the quotient is a whole number, then 2 and 136,817,765.5 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:

1 273,635,531
-1 -273,635,531

Now, we try dividing 273,635,531 by 3:

273,635,531 ÷ 3 = 91,211,843.6667

If the quotient is a whole number, then 3 and 91,211,843.6667 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:

1 273,635,531
-1 -273,635,531

Let's try dividing by 4:

273,635,531 ÷ 4 = 68,408,882.75

If the quotient is a whole number, then 4 and 68,408,882.75 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:

1 273,635,531
-1 273,635,531
Keep dividing by the next highest number until you cannot divide anymore.

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

113234329955998912,85721,283276,679489,509915,1696,363,61711,897,19721,048,887273,635,531
-1-13-23-43-299-559-989-12,857-21,283-276,679-489,509-915,169-6,363,617-11,897,197-21,048,887-273,635,531

More Examples

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