Q: What are the factor combinations of the number 12,942,457?

 A:
Positive:   1 x 1294245711 x 117658717 x 76132167 x 193171187 x 69211737 x 175611033 x 125291139 x 11363
Negative: -1 x -12942457-11 x -1176587-17 x -761321-67 x -193171-187 x -69211-737 x -17561-1033 x -12529-1139 x -11363


How do I find the factor combinations of the number 12,942,457?

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 12,942,457, 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 12,942,457
-1 -12,942,457

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 12,942,457.

Example:
1 x 12,942,457 = 12,942,457
and
-1 x -12,942,457 = 12,942,457
Notice both answers equal 12,942,457

With that explanation out of the way, let's continue. Next, we take the number 12,942,457 and divide it by 2:

12,942,457 ÷ 2 = 6,471,228.5

If the quotient is a whole number, then 2 and 6,471,228.5 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 12,942,457
-1 -12,942,457

Now, we try dividing 12,942,457 by 3:

12,942,457 ÷ 3 = 4,314,152.3333

If the quotient is a whole number, then 3 and 4,314,152.3333 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 12,942,457
-1 -12,942,457

Let's try dividing by 4:

12,942,457 ÷ 4 = 3,235,614.25

If the quotient is a whole number, then 4 and 3,235,614.25 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 12,942,457
-1 12,942,457
Keep dividing by the next highest number until you cannot divide anymore.

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

11117671877371,0331,13911,36312,52917,56169,211193,171761,3211,176,58712,942,457
-1-11-17-67-187-737-1,033-1,139-11,363-12,529-17,561-69,211-193,171-761,321-1,176,587-12,942,457

More Examples

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