Q: What are the factor combinations of the number 12,467,735?

 A:
Positive:   1 x 124677355 x 24935477 x 178110531 x 40218535 x 356221155 x 80437217 x 574551085 x 11491
Negative: -1 x -12467735-5 x -2493547-7 x -1781105-31 x -402185-35 x -356221-155 x -80437-217 x -57455-1085 x -11491


How do I find the factor combinations of the number 12,467,735?

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 12,467,735, 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 12,467,735
-1 -12,467,735

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 12,467,735.

Example:
1 x 12,467,735 = 12,467,735
and
-1 x -12,467,735 = 12,467,735
Notice both answers equal 12,467,735

With that explanation out of the way, let's continue. Next, we take the number 12,467,735 and divide it by 2:

12,467,735 ÷ 2 = 6,233,867.5

If the quotient is a whole number, then 2 and 6,233,867.5 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 12,467,735
-1 -12,467,735

Now, we try dividing 12,467,735 by 3:

12,467,735 ÷ 3 = 4,155,911.6667

If the quotient is a whole number, then 3 and 4,155,911.6667 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 12,467,735
-1 -12,467,735

Let's try dividing by 4:

12,467,735 ÷ 4 = 3,116,933.75

If the quotient is a whole number, then 4 and 3,116,933.75 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 12,467,735
-1 12,467,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,08511,49157,45580,437356,221402,1851,781,1052,493,54712,467,735
-1-5-7-31-35-155-217-1,085-11,491-57,455-80,437-356,221-402,185-1,781,105-2,493,547-12,467,735

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