Q: What are the factor combinations of the number 120,324,245?

 A:
Positive:   1 x 1203242455 x 2406484919 x 633285595 x 1266571127 x 947435635 x 1894872413 x 498659973 x 12065
Negative: -1 x -120324245-5 x -24064849-19 x -6332855-95 x -1266571-127 x -947435-635 x -189487-2413 x -49865-9973 x -12065


How do I find the factor combinations of the number 120,324,245?

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 120,324,245, 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.

1 120,324,245
-1 -120,324,245

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 120,324,245.

Example:
1 x 120,324,245 = 120,324,245
and
-1 x -120,324,245 = 120,324,245
Notice both answers equal 120,324,245

With that explanation out of the way, let's continue. Next, we take the number 120,324,245 and divide it by 2:

120,324,245 ÷ 2 = 60,162,122.5

If the quotient is a whole number, then 2 and 60,162,122.5 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:

1 120,324,245
-1 -120,324,245

Now, we try dividing 120,324,245 by 3:

120,324,245 ÷ 3 = 40,108,081.6667

If the quotient is a whole number, then 3 and 40,108,081.6667 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:

1 120,324,245
-1 -120,324,245

Let's try dividing by 4:

120,324,245 ÷ 4 = 30,081,061.25

If the quotient is a whole number, then 4 and 30,081,061.25 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:

1 120,324,245
-1 120,324,245
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951276352,4139,97312,06549,865189,487947,4351,266,5716,332,85524,064,849120,324,245
-1-5-19-95-127-635-2,413-9,973-12,065-49,865-189,487-947,435-1,266,571-6,332,855-24,064,849-120,324,245

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