Q: What are the factor combinations of the number 87,375,835?

 A:
Positive:   1 x 873758355 x 1747516717 x 513975585 x 1027951149 x 586415745 x 1172832533 x 344956899 x 12665
Negative: -1 x -87375835-5 x -17475167-17 x -5139755-85 x -1027951-149 x -586415-745 x -117283-2533 x -34495-6899 x -12665


How do I find the factor combinations of the number 87,375,835?

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 87,375,835, 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 87,375,835
-1 -87,375,835

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 87,375,835.

Example:
1 x 87,375,835 = 87,375,835
and
-1 x -87,375,835 = 87,375,835
Notice both answers equal 87,375,835

With that explanation out of the way, let's continue. Next, we take the number 87,375,835 and divide it by 2:

87,375,835 ÷ 2 = 43,687,917.5

If the quotient is a whole number, then 2 and 43,687,917.5 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 87,375,835
-1 -87,375,835

Now, we try dividing 87,375,835 by 3:

87,375,835 ÷ 3 = 29,125,278.3333

If the quotient is a whole number, then 3 and 29,125,278.3333 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 87,375,835
-1 -87,375,835

Let's try dividing by 4:

87,375,835 ÷ 4 = 21,843,958.75

If the quotient is a whole number, then 4 and 21,843,958.75 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 87,375,835
-1 87,375,835
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851497452,5336,89912,66534,495117,283586,4151,027,9515,139,75517,475,16787,375,835
-1-5-17-85-149-745-2,533-6,899-12,665-34,495-117,283-586,415-1,027,951-5,139,755-17,475,167-87,375,835

More Examples

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