Q: What are the factor combinations of the number 120,332,335?

 A:
Positive:   1 x 1203323355 x 2406646741 x 293493567 x 1796005205 x 586987335 x 3592012747 x 438058761 x 13735
Negative: -1 x -120332335-5 x -24066467-41 x -2934935-67 x -1796005-205 x -586987-335 x -359201-2747 x -43805-8761 x -13735


How do I find the factor combinations of the number 120,332,335?

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 120,332,335, 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.

1 120,332,335
-1 -120,332,335

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 120,332,335.

Example:
1 x 120,332,335 = 120,332,335
and
-1 x -120,332,335 = 120,332,335
Notice both answers equal 120,332,335

With that explanation out of the way, let's continue. Next, we take the number 120,332,335 and divide it by 2:

120,332,335 ÷ 2 = 60,166,167.5

If the quotient is a whole number, then 2 and 60,166,167.5 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:

1 120,332,335
-1 -120,332,335

Now, we try dividing 120,332,335 by 3:

120,332,335 ÷ 3 = 40,110,778.3333

If the quotient is a whole number, then 3 and 40,110,778.3333 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:

1 120,332,335
-1 -120,332,335

Let's try dividing by 4:

120,332,335 ÷ 4 = 30,083,083.75

If the quotient is a whole number, then 4 and 30,083,083.75 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:

1 120,332,335
-1 120,332,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1541672053352,7478,76113,73543,805359,201586,9871,796,0052,934,93524,066,467120,332,335
-1-5-41-67-205-335-2,747-8,761-13,735-43,805-359,201-586,987-1,796,005-2,934,935-24,066,467-120,332,335

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