Q: What are the factor combinations of the number 121,278,625?

 A:
Positive:   1 x 1212786255 x 2425572513 x 932912525 x 485114565 x 1865825125 x 970229169 x 717625325 x 373165845 x 1435251625 x 746334225 x 287055741 x 21125
Negative: -1 x -121278625-5 x -24255725-13 x -9329125-25 x -4851145-65 x -1865825-125 x -970229-169 x -717625-325 x -373165-845 x -143525-1625 x -74633-4225 x -28705-5741 x -21125


How do I find the factor combinations of the number 121,278,625?

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 121,278,625, 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.

1 121,278,625
-1 -121,278,625

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 121,278,625.

Example:
1 x 121,278,625 = 121,278,625
and
-1 x -121,278,625 = 121,278,625
Notice both answers equal 121,278,625

With that explanation out of the way, let's continue. Next, we take the number 121,278,625 and divide it by 2:

121,278,625 ÷ 2 = 60,639,312.5

If the quotient is a whole number, then 2 and 60,639,312.5 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:

1 121,278,625
-1 -121,278,625

Now, we try dividing 121,278,625 by 3:

121,278,625 ÷ 3 = 40,426,208.3333

If the quotient is a whole number, then 3 and 40,426,208.3333 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:

1 121,278,625
-1 -121,278,625

Let's try dividing by 4:

121,278,625 ÷ 4 = 30,319,656.25

If the quotient is a whole number, then 4 and 30,319,656.25 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:

1 121,278,625
-1 121,278,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651251693258451,6254,2255,74121,12528,70574,633143,525373,165717,625970,2291,865,8254,851,1459,329,12524,255,725121,278,625
-1-5-13-25-65-125-169-325-845-1,625-4,225-5,741-21,125-28,705-74,633-143,525-373,165-717,625-970,229-1,865,825-4,851,145-9,329,125-24,255,725-121,278,625

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