Q: What are the factor combinations of the number 121,163,537?

 A:
Positive:   1 x 12116353711 x 1101486729 x 417805367 x 1808411319 x 379823737 x 1644011943 x 623595669 x 21373
Negative: -1 x -121163537-11 x -11014867-29 x -4178053-67 x -1808411-319 x -379823-737 x -164401-1943 x -62359-5669 x -21373


How do I find the factor combinations of the number 121,163,537?

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 121,163,537, 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.

1 121,163,537
-1 -121,163,537

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 121,163,537.

Example:
1 x 121,163,537 = 121,163,537
and
-1 x -121,163,537 = 121,163,537
Notice both answers equal 121,163,537

With that explanation out of the way, let's continue. Next, we take the number 121,163,537 and divide it by 2:

121,163,537 ÷ 2 = 60,581,768.5

If the quotient is a whole number, then 2 and 60,581,768.5 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:

1 121,163,537
-1 -121,163,537

Now, we try dividing 121,163,537 by 3:

121,163,537 ÷ 3 = 40,387,845.6667

If the quotient is a whole number, then 3 and 40,387,845.6667 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:

1 121,163,537
-1 -121,163,537

Let's try dividing by 4:

121,163,537 ÷ 4 = 30,290,884.25

If the quotient is a whole number, then 4 and 30,290,884.25 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:

1 121,163,537
-1 121,163,537
Keep dividing by the next highest number until you cannot divide anymore.

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

11129673197371,9435,66921,37362,359164,401379,8231,808,4114,178,05311,014,867121,163,537
-1-11-29-67-319-737-1,943-5,669-21,373-62,359-164,401-379,823-1,808,411-4,178,053-11,014,867-121,163,537

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