Q: What are the factor combinations of the number 120,111,245?

 A:
Positive:   1 x 1201112455 x 24022249107 x 1122535461 x 260545487 x 246635535 x 2245072305 x 521092435 x 49327
Negative: -1 x -120111245-5 x -24022249-107 x -1122535-461 x -260545-487 x -246635-535 x -224507-2305 x -52109-2435 x -49327


How do I find the factor combinations of the number 120,111,245?

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 120,111,245, 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.

1 120,111,245
-1 -120,111,245

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 120,111,245.

Example:
1 x 120,111,245 = 120,111,245
and
-1 x -120,111,245 = 120,111,245
Notice both answers equal 120,111,245

With that explanation out of the way, let's continue. Next, we take the number 120,111,245 and divide it by 2:

120,111,245 ÷ 2 = 60,055,622.5

If the quotient is a whole number, then 2 and 60,055,622.5 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:

1 120,111,245
-1 -120,111,245

Now, we try dividing 120,111,245 by 3:

120,111,245 ÷ 3 = 40,037,081.6667

If the quotient is a whole number, then 3 and 40,037,081.6667 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:

1 120,111,245
-1 -120,111,245

Let's try dividing by 4:

120,111,245 ÷ 4 = 30,027,811.25

If the quotient is a whole number, then 4 and 30,027,811.25 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:

1 120,111,245
-1 120,111,245
Keep dividing by the next highest number until you cannot divide anymore.

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

151074614875352,3052,43549,32752,109224,507246,635260,5451,122,53524,022,249120,111,245
-1-5-107-461-487-535-2,305-2,435-49,327-52,109-224,507-246,635-260,545-1,122,535-24,022,249-120,111,245

More Examples

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