Q: What are the factor combinations of the number 121,207,723?

 A:
Positive:   1 x 1212077237 x 1731538913 x 932367123 x 526990149 x 247362791 x 1331953161 x 752843299 x 405377637 x 1902791127 x 1075492093 x 579118273 x 14651
Negative: -1 x -121207723-7 x -17315389-13 x -9323671-23 x -5269901-49 x -2473627-91 x -1331953-161 x -752843-299 x -405377-637 x -190279-1127 x -107549-2093 x -57911-8273 x -14651


How do I find the factor combinations of the number 121,207,723?

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 121,207,723, 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.

1 121,207,723
-1 -121,207,723

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 121,207,723.

Example:
1 x 121,207,723 = 121,207,723
and
-1 x -121,207,723 = 121,207,723
Notice both answers equal 121,207,723

With that explanation out of the way, let's continue. Next, we take the number 121,207,723 and divide it by 2:

121,207,723 ÷ 2 = 60,603,861.5

If the quotient is a whole number, then 2 and 60,603,861.5 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:

1 121,207,723
-1 -121,207,723

Now, we try dividing 121,207,723 by 3:

121,207,723 ÷ 3 = 40,402,574.3333

If the quotient is a whole number, then 3 and 40,402,574.3333 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:

1 121,207,723
-1 -121,207,723

Let's try dividing by 4:

121,207,723 ÷ 4 = 30,301,930.75

If the quotient is a whole number, then 4 and 30,301,930.75 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:

1 121,207,723
-1 121,207,723
Keep dividing by the next highest number until you cannot divide anymore.

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

17132349911612996371,1272,0938,27314,65157,911107,549190,279405,377752,8431,331,9532,473,6275,269,9019,323,67117,315,389121,207,723
-1-7-13-23-49-91-161-299-637-1,127-2,093-8,273-14,651-57,911-107,549-190,279-405,377-752,843-1,331,953-2,473,627-5,269,901-9,323,671-17,315,389-121,207,723

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