Q: What are the factor combinations of the number 12,602,765?

 A:
Positive:   1 x 126027655 x 25205537 x 180039535 x 360079397 x 31745907 x 138951985 x 63492779 x 4535
Negative: -1 x -12602765-5 x -2520553-7 x -1800395-35 x -360079-397 x -31745-907 x -13895-1985 x -6349-2779 x -4535


How do I find the factor combinations of the number 12,602,765?

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 12,602,765, 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 12,602,765
-1 -12,602,765

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 12,602,765.

Example:
1 x 12,602,765 = 12,602,765
and
-1 x -12,602,765 = 12,602,765
Notice both answers equal 12,602,765

With that explanation out of the way, let's continue. Next, we take the number 12,602,765 and divide it by 2:

12,602,765 ÷ 2 = 6,301,382.5

If the quotient is a whole number, then 2 and 6,301,382.5 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 12,602,765
-1 -12,602,765

Now, we try dividing 12,602,765 by 3:

12,602,765 ÷ 3 = 4,200,921.6667

If the quotient is a whole number, then 3 and 4,200,921.6667 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 12,602,765
-1 -12,602,765

Let's try dividing by 4:

12,602,765 ÷ 4 = 3,150,691.25

If the quotient is a whole number, then 4 and 3,150,691.25 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 12,602,765
-1 12,602,765
Keep dividing by the next highest number until you cannot divide anymore.

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

157353979071,9852,7794,5356,34913,89531,745360,0791,800,3952,520,55312,602,765
-1-5-7-35-397-907-1,985-2,779-4,535-6,349-13,895-31,745-360,079-1,800,395-2,520,553-12,602,765

More Examples

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