Q: What are the factor combinations of the number 12,054,749?

 A:
Positive:   1 x 120547497 x 172210729 x 41568143 x 280343203 x 59383301 x 400491247 x 96671381 x 8729
Negative: -1 x -12054749-7 x -1722107-29 x -415681-43 x -280343-203 x -59383-301 x -40049-1247 x -9667-1381 x -8729


How do I find the factor combinations of the number 12,054,749?

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 12,054,749, 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 12,054,749
-1 -12,054,749

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 12,054,749.

Example:
1 x 12,054,749 = 12,054,749
and
-1 x -12,054,749 = 12,054,749
Notice both answers equal 12,054,749

With that explanation out of the way, let's continue. Next, we take the number 12,054,749 and divide it by 2:

12,054,749 ÷ 2 = 6,027,374.5

If the quotient is a whole number, then 2 and 6,027,374.5 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 12,054,749
-1 -12,054,749

Now, we try dividing 12,054,749 by 3:

12,054,749 ÷ 3 = 4,018,249.6667

If the quotient is a whole number, then 3 and 4,018,249.6667 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 12,054,749
-1 -12,054,749

Let's try dividing by 4:

12,054,749 ÷ 4 = 3,013,687.25

If the quotient is a whole number, then 4 and 3,013,687.25 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 12,054,749
-1 12,054,749
Keep dividing by the next highest number until you cannot divide anymore.

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

1729432033011,2471,3818,7299,66740,04959,383280,343415,6811,722,10712,054,749
-1-7-29-43-203-301-1,247-1,381-8,729-9,667-40,049-59,383-280,343-415,681-1,722,107-12,054,749

More Examples

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