Q: What are the factor combinations of the number 121,131,425?

 A:
Positive:   1 x 1211314255 x 2422628525 x 484525741 x 295442559 x 2053075205 x 590885295 x 4106151025 x 1181771475 x 821232003 x 604752419 x 5007510015 x 12095
Negative: -1 x -121131425-5 x -24226285-25 x -4845257-41 x -2954425-59 x -2053075-205 x -590885-295 x -410615-1025 x -118177-1475 x -82123-2003 x -60475-2419 x -50075-10015 x -12095


How do I find the factor combinations of the number 121,131,425?

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 121,131,425, 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.

1 121,131,425
-1 -121,131,425

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 121,131,425.

Example:
1 x 121,131,425 = 121,131,425
and
-1 x -121,131,425 = 121,131,425
Notice both answers equal 121,131,425

With that explanation out of the way, let's continue. Next, we take the number 121,131,425 and divide it by 2:

121,131,425 ÷ 2 = 60,565,712.5

If the quotient is a whole number, then 2 and 60,565,712.5 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:

1 121,131,425
-1 -121,131,425

Now, we try dividing 121,131,425 by 3:

121,131,425 ÷ 3 = 40,377,141.6667

If the quotient is a whole number, then 3 and 40,377,141.6667 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:

1 121,131,425
-1 -121,131,425

Let's try dividing by 4:

121,131,425 ÷ 4 = 30,282,856.25

If the quotient is a whole number, then 4 and 30,282,856.25 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:

1 121,131,425
-1 121,131,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152541592052951,0251,4752,0032,41910,01512,09550,07560,47582,123118,177410,615590,8852,053,0752,954,4254,845,25724,226,285121,131,425
-1-5-25-41-59-205-295-1,025-1,475-2,003-2,419-10,015-12,095-50,075-60,475-82,123-118,177-410,615-590,885-2,053,075-2,954,425-4,845,257-24,226,285-121,131,425

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