Q: What are the factor combinations of the number 138,775,637?

 A:
Positive:   1 x 1387756377 x 1982509111 x 1261596713 x 1067504977 x 180228191 x 1525007143 x 9704591001 x 138637
Negative: -1 x -138775637-7 x -19825091-11 x -12615967-13 x -10675049-77 x -1802281-91 x -1525007-143 x -970459-1001 x -138637


How do I find the factor combinations of the number 138,775,637?

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 138,775,637, 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.

1 138,775,637
-1 -138,775,637

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 138,775,637.

Example:
1 x 138,775,637 = 138,775,637
and
-1 x -138,775,637 = 138,775,637
Notice both answers equal 138,775,637

With that explanation out of the way, let's continue. Next, we take the number 138,775,637 and divide it by 2:

138,775,637 ÷ 2 = 69,387,818.5

If the quotient is a whole number, then 2 and 69,387,818.5 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:

1 138,775,637
-1 -138,775,637

Now, we try dividing 138,775,637 by 3:

138,775,637 ÷ 3 = 46,258,545.6667

If the quotient is a whole number, then 3 and 46,258,545.6667 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:

1 138,775,637
-1 -138,775,637

Let's try dividing by 4:

138,775,637 ÷ 4 = 34,693,909.25

If the quotient is a whole number, then 4 and 34,693,909.25 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:

1 138,775,637
-1 138,775,637
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,001138,637970,4591,525,0071,802,28110,675,04912,615,96719,825,091138,775,637
-1-7-11-13-77-91-143-1,001-138,637-970,459-1,525,007-1,802,281-10,675,049-12,615,967-19,825,091-138,775,637

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