Q: What are the factor combinations of the number 121,325,545?

 A:
Positive:   1 x 1213255455 x 2426510911 x 1102959519 x 638555555 x 220591995 x 1277111209 x 5805051045 x 116101
Negative: -1 x -121325545-5 x -24265109-11 x -11029595-19 x -6385555-55 x -2205919-95 x -1277111-209 x -580505-1045 x -116101


How do I find the factor combinations of the number 121,325,545?

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 121,325,545, 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.

1 121,325,545
-1 -121,325,545

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 121,325,545.

Example:
1 x 121,325,545 = 121,325,545
and
-1 x -121,325,545 = 121,325,545
Notice both answers equal 121,325,545

With that explanation out of the way, let's continue. Next, we take the number 121,325,545 and divide it by 2:

121,325,545 ÷ 2 = 60,662,772.5

If the quotient is a whole number, then 2 and 60,662,772.5 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:

1 121,325,545
-1 -121,325,545

Now, we try dividing 121,325,545 by 3:

121,325,545 ÷ 3 = 40,441,848.3333

If the quotient is a whole number, then 3 and 40,441,848.3333 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:

1 121,325,545
-1 -121,325,545

Let's try dividing by 4:

121,325,545 ÷ 4 = 30,331,386.25

If the quotient is a whole number, then 4 and 30,331,386.25 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:

1 121,325,545
-1 121,325,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,045116,101580,5051,277,1112,205,9196,385,55511,029,59524,265,109121,325,545
-1-5-11-19-55-95-209-1,045-116,101-580,505-1,277,111-2,205,919-6,385,555-11,029,595-24,265,109-121,325,545

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