Q: What are the factor combinations of the number 121,206,265?

 A:
Positive:   1 x 1212062655 x 2424125337 x 3275845185 x 655169229 x 5292851145 x 1058572861 x 423658473 x 14305
Negative: -1 x -121206265-5 x -24241253-37 x -3275845-185 x -655169-229 x -529285-1145 x -105857-2861 x -42365-8473 x -14305


How do I find the factor combinations of the number 121,206,265?

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 121,206,265, 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.

1 121,206,265
-1 -121,206,265

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 121,206,265.

Example:
1 x 121,206,265 = 121,206,265
and
-1 x -121,206,265 = 121,206,265
Notice both answers equal 121,206,265

With that explanation out of the way, let's continue. Next, we take the number 121,206,265 and divide it by 2:

121,206,265 ÷ 2 = 60,603,132.5

If the quotient is a whole number, then 2 and 60,603,132.5 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:

1 121,206,265
-1 -121,206,265

Now, we try dividing 121,206,265 by 3:

121,206,265 ÷ 3 = 40,402,088.3333

If the quotient is a whole number, then 3 and 40,402,088.3333 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:

1 121,206,265
-1 -121,206,265

Let's try dividing by 4:

121,206,265 ÷ 4 = 30,301,566.25

If the quotient is a whole number, then 4 and 30,301,566.25 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:

1 121,206,265
-1 121,206,265
Keep dividing by the next highest number until you cannot divide anymore.

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

15371852291,1452,8618,47314,30542,365105,857529,285655,1693,275,84524,241,253121,206,265
-1-5-37-185-229-1,145-2,861-8,473-14,305-42,365-105,857-529,285-655,169-3,275,845-24,241,253-121,206,265

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