Q: What are the factor combinations of the number 12,504,365?

 A:
Positive:   1 x 125043655 x 250087329 x 43118583 x 150655145 x 86237415 x 301311039 x 120352407 x 5195
Negative: -1 x -12504365-5 x -2500873-29 x -431185-83 x -150655-145 x -86237-415 x -30131-1039 x -12035-2407 x -5195


How do I find the factor combinations of the number 12,504,365?

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 12,504,365, 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 12,504,365
-1 -12,504,365

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 12,504,365.

Example:
1 x 12,504,365 = 12,504,365
and
-1 x -12,504,365 = 12,504,365
Notice both answers equal 12,504,365

With that explanation out of the way, let's continue. Next, we take the number 12,504,365 and divide it by 2:

12,504,365 ÷ 2 = 6,252,182.5

If the quotient is a whole number, then 2 and 6,252,182.5 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 12,504,365
-1 -12,504,365

Now, we try dividing 12,504,365 by 3:

12,504,365 ÷ 3 = 4,168,121.6667

If the quotient is a whole number, then 3 and 4,168,121.6667 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 12,504,365
-1 -12,504,365

Let's try dividing by 4:

12,504,365 ÷ 4 = 3,126,091.25

If the quotient is a whole number, then 4 and 3,126,091.25 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 12,504,365
-1 12,504,365
Keep dividing by the next highest number until you cannot divide anymore.

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

1529831454151,0392,4075,19512,03530,13186,237150,655431,1852,500,87312,504,365
-1-5-29-83-145-415-1,039-2,407-5,195-12,035-30,131-86,237-150,655-431,185-2,500,873-12,504,365

More Examples

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