Q: What are the factor combinations of the number 12,560,645?

 A:
Positive:   1 x 125606455 x 251212923 x 546115115 x 109223239 x 52555457 x 274851195 x 105112285 x 5497
Negative: -1 x -12560645-5 x -2512129-23 x -546115-115 x -109223-239 x -52555-457 x -27485-1195 x -10511-2285 x -5497


How do I find the factor combinations of the number 12,560,645?

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 12,560,645, 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 12,560,645
-1 -12,560,645

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 12,560,645.

Example:
1 x 12,560,645 = 12,560,645
and
-1 x -12,560,645 = 12,560,645
Notice both answers equal 12,560,645

With that explanation out of the way, let's continue. Next, we take the number 12,560,645 and divide it by 2:

12,560,645 ÷ 2 = 6,280,322.5

If the quotient is a whole number, then 2 and 6,280,322.5 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 12,560,645
-1 -12,560,645

Now, we try dividing 12,560,645 by 3:

12,560,645 ÷ 3 = 4,186,881.6667

If the quotient is a whole number, then 3 and 4,186,881.6667 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 12,560,645
-1 -12,560,645

Let's try dividing by 4:

12,560,645 ÷ 4 = 3,140,161.25

If the quotient is a whole number, then 4 and 3,140,161.25 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 12,560,645
-1 12,560,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15231152394571,1952,2855,49710,51127,48552,555109,223546,1152,512,12912,560,645
-1-5-23-115-239-457-1,195-2,285-5,497-10,511-27,485-52,555-109,223-546,115-2,512,129-12,560,645

More Examples

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