Q: What are the factor combinations of the number 132,538,889?

 A:
Positive:   1 x 1325388897 x 1893412719 x 697573189 x 1489201133 x 996533623 x 2127431691 x 7837911197 x 11837
Negative: -1 x -132538889-7 x -18934127-19 x -6975731-89 x -1489201-133 x -996533-623 x -212743-1691 x -78379-11197 x -11837


How do I find the factor combinations of the number 132,538,889?

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 132,538,889, 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.

1 132,538,889
-1 -132,538,889

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 132,538,889.

Example:
1 x 132,538,889 = 132,538,889
and
-1 x -132,538,889 = 132,538,889
Notice both answers equal 132,538,889

With that explanation out of the way, let's continue. Next, we take the number 132,538,889 and divide it by 2:

132,538,889 ÷ 2 = 66,269,444.5

If the quotient is a whole number, then 2 and 66,269,444.5 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:

1 132,538,889
-1 -132,538,889

Now, we try dividing 132,538,889 by 3:

132,538,889 ÷ 3 = 44,179,629.6667

If the quotient is a whole number, then 3 and 44,179,629.6667 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:

1 132,538,889
-1 -132,538,889

Let's try dividing by 4:

132,538,889 ÷ 4 = 33,134,722.25

If the quotient is a whole number, then 4 and 33,134,722.25 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:

1 132,538,889
-1 132,538,889
Keep dividing by the next highest number until you cannot divide anymore.

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

1719891336231,69111,19711,83778,379212,743996,5331,489,2016,975,73118,934,127132,538,889
-1-7-19-89-133-623-1,691-11,197-11,837-78,379-212,743-996,533-1,489,201-6,975,731-18,934,127-132,538,889

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