Q: What are the factor combinations of the number 120,425,125?

 A:
Positive:   1 x 1204251255 x 2408502523 x 523587525 x 4817005115 x 1047175125 x 963401575 x 2094352875 x 41887
Negative: -1 x -120425125-5 x -24085025-23 x -5235875-25 x -4817005-115 x -1047175-125 x -963401-575 x -209435-2875 x -41887


How do I find the factor combinations of the number 120,425,125?

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 120,425,125, 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.

1 120,425,125
-1 -120,425,125

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 120,425,125.

Example:
1 x 120,425,125 = 120,425,125
and
-1 x -120,425,125 = 120,425,125
Notice both answers equal 120,425,125

With that explanation out of the way, let's continue. Next, we take the number 120,425,125 and divide it by 2:

120,425,125 ÷ 2 = 60,212,562.5

If the quotient is a whole number, then 2 and 60,212,562.5 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:

1 120,425,125
-1 -120,425,125

Now, we try dividing 120,425,125 by 3:

120,425,125 ÷ 3 = 40,141,708.3333

If the quotient is a whole number, then 3 and 40,141,708.3333 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:

1 120,425,125
-1 -120,425,125

Let's try dividing by 4:

120,425,125 ÷ 4 = 30,106,281.25

If the quotient is a whole number, then 4 and 30,106,281.25 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:

1 120,425,125
-1 120,425,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251151255752,87541,887209,435963,4011,047,1754,817,0055,235,87524,085,025120,425,125
-1-5-23-25-115-125-575-2,875-41,887-209,435-963,401-1,047,175-4,817,005-5,235,875-24,085,025-120,425,125

More Examples

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