Q: What are the factor combinations of the number 12,440,645?

 A:
Positive:   1 x 124406455 x 24881297 x 177723535 x 35544761 x 203945305 x 40789427 x 291352135 x 5827
Negative: -1 x -12440645-5 x -2488129-7 x -1777235-35 x -355447-61 x -203945-305 x -40789-427 x -29135-2135 x -5827


How do I find the factor combinations of the number 12,440,645?

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 12,440,645, 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 12,440,645
-1 -12,440,645

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 12,440,645.

Example:
1 x 12,440,645 = 12,440,645
and
-1 x -12,440,645 = 12,440,645
Notice both answers equal 12,440,645

With that explanation out of the way, let's continue. Next, we take the number 12,440,645 and divide it by 2:

12,440,645 ÷ 2 = 6,220,322.5

If the quotient is a whole number, then 2 and 6,220,322.5 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 12,440,645
-1 -12,440,645

Now, we try dividing 12,440,645 by 3:

12,440,645 ÷ 3 = 4,146,881.6667

If the quotient is a whole number, then 3 and 4,146,881.6667 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 12,440,645
-1 -12,440,645

Let's try dividing by 4:

12,440,645 ÷ 4 = 3,110,161.25

If the quotient is a whole number, then 4 and 3,110,161.25 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 12,440,645
-1 12,440,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15735613054272,1355,82729,13540,789203,945355,4471,777,2352,488,12912,440,645
-1-5-7-35-61-305-427-2,135-5,827-29,135-40,789-203,945-355,447-1,777,235-2,488,129-12,440,645

More Examples

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