Q: What are the factor combinations of the number 121,323,625?

 A:
Positive:   1 x 1213236255 x 2426472525 x 485294553 x 2289125125 x 970589265 x 4578251325 x 915656625 x 18313
Negative: -1 x -121323625-5 x -24264725-25 x -4852945-53 x -2289125-125 x -970589-265 x -457825-1325 x -91565-6625 x -18313


How do I find the factor combinations of the number 121,323,625?

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 121,323,625, 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.

1 121,323,625
-1 -121,323,625

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 121,323,625.

Example:
1 x 121,323,625 = 121,323,625
and
-1 x -121,323,625 = 121,323,625
Notice both answers equal 121,323,625

With that explanation out of the way, let's continue. Next, we take the number 121,323,625 and divide it by 2:

121,323,625 ÷ 2 = 60,661,812.5

If the quotient is a whole number, then 2 and 60,661,812.5 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:

1 121,323,625
-1 -121,323,625

Now, we try dividing 121,323,625 by 3:

121,323,625 ÷ 3 = 40,441,208.3333

If the quotient is a whole number, then 3 and 40,441,208.3333 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:

1 121,323,625
-1 -121,323,625

Let's try dividing by 4:

121,323,625 ÷ 4 = 30,330,906.25

If the quotient is a whole number, then 4 and 30,330,906.25 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:

1 121,323,625
-1 121,323,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525531252651,3256,62518,31391,565457,825970,5892,289,1254,852,94524,264,725121,323,625
-1-5-25-53-125-265-1,325-6,625-18,313-91,565-457,825-970,589-2,289,125-4,852,945-24,264,725-121,323,625

More Examples

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