Q: What are the factor combinations of the number 12,076,055?

 A:
Positive:   1 x 120760555 x 24152111201 x 100552011 x 6005
Negative: -1 x -12076055-5 x -2415211-1201 x -10055-2011 x -6005


How do I find the factor combinations of the number 12,076,055?

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 12,076,055, 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 12,076,055
-1 -12,076,055

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 12,076,055.

Example:
1 x 12,076,055 = 12,076,055
and
-1 x -12,076,055 = 12,076,055
Notice both answers equal 12,076,055

With that explanation out of the way, let's continue. Next, we take the number 12,076,055 and divide it by 2:

12,076,055 ÷ 2 = 6,038,027.5

If the quotient is a whole number, then 2 and 6,038,027.5 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 12,076,055
-1 -12,076,055

Now, we try dividing 12,076,055 by 3:

12,076,055 ÷ 3 = 4,025,351.6667

If the quotient is a whole number, then 3 and 4,025,351.6667 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 12,076,055
-1 -12,076,055

Let's try dividing by 4:

12,076,055 ÷ 4 = 3,019,013.75

If the quotient is a whole number, then 4 and 3,019,013.75 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 12,076,055
-1 12,076,055
Keep dividing by the next highest number until you cannot divide anymore.

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

151,2012,0116,00510,0552,415,21112,076,055
-1-5-1,201-2,011-6,005-10,055-2,415,211-12,076,055

More Examples

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