Q: What are the factor combinations of the number 121,457,125?

 A:
Positive:   1 x 1214571255 x 2429142525 x 485828537 x 3282625125 x 971657185 x 656525925 x 1313054625 x 26261
Negative: -1 x -121457125-5 x -24291425-25 x -4858285-37 x -3282625-125 x -971657-185 x -656525-925 x -131305-4625 x -26261


How do I find the factor combinations of the number 121,457,125?

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 121,457,125, 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.

1 121,457,125
-1 -121,457,125

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 121,457,125.

Example:
1 x 121,457,125 = 121,457,125
and
-1 x -121,457,125 = 121,457,125
Notice both answers equal 121,457,125

With that explanation out of the way, let's continue. Next, we take the number 121,457,125 and divide it by 2:

121,457,125 ÷ 2 = 60,728,562.5

If the quotient is a whole number, then 2 and 60,728,562.5 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:

1 121,457,125
-1 -121,457,125

Now, we try dividing 121,457,125 by 3:

121,457,125 ÷ 3 = 40,485,708.3333

If the quotient is a whole number, then 3 and 40,485,708.3333 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:

1 121,457,125
-1 -121,457,125

Let's try dividing by 4:

121,457,125 ÷ 4 = 30,364,281.25

If the quotient is a whole number, then 4 and 30,364,281.25 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:

1 121,457,125
-1 121,457,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525371251859254,62526,261131,305656,525971,6573,282,6254,858,28524,291,425121,457,125
-1-5-25-37-125-185-925-4,625-26,261-131,305-656,525-971,657-3,282,625-4,858,285-24,291,425-121,457,125

More Examples

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