Q: What are the factor combinations of the number 121,104,403?

 A:
Positive:   1 x 1211044037 x 1730062959 x 205261797 x 1248499413 x 293231679 x 1783573023 x 400615723 x 21161
Negative: -1 x -121104403-7 x -17300629-59 x -2052617-97 x -1248499-413 x -293231-679 x -178357-3023 x -40061-5723 x -21161


How do I find the factor combinations of the number 121,104,403?

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 121,104,403, 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.

1 121,104,403
-1 -121,104,403

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 121,104,403.

Example:
1 x 121,104,403 = 121,104,403
and
-1 x -121,104,403 = 121,104,403
Notice both answers equal 121,104,403

With that explanation out of the way, let's continue. Next, we take the number 121,104,403 and divide it by 2:

121,104,403 ÷ 2 = 60,552,201.5

If the quotient is a whole number, then 2 and 60,552,201.5 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:

1 121,104,403
-1 -121,104,403

Now, we try dividing 121,104,403 by 3:

121,104,403 ÷ 3 = 40,368,134.3333

If the quotient is a whole number, then 3 and 40,368,134.3333 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:

1 121,104,403
-1 -121,104,403

Let's try dividing by 4:

121,104,403 ÷ 4 = 30,276,100.75

If the quotient is a whole number, then 4 and 30,276,100.75 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:

1 121,104,403
-1 121,104,403
Keep dividing by the next highest number until you cannot divide anymore.

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

1759974136793,0235,72321,16140,061178,357293,2311,248,4992,052,61717,300,629121,104,403
-1-7-59-97-413-679-3,023-5,723-21,161-40,061-178,357-293,231-1,248,499-2,052,617-17,300,629-121,104,403

More Examples

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