Q: What are the factor combinations of the number 12,117,787?

 A:
Positive:   1 x 1211778711 x 110161717 x 71281143 x 281809121 x 100147137 x 88451187 x 64801473 x 25619731 x 165771507 x 80412057 x 58912329 x 5203
Negative: -1 x -12117787-11 x -1101617-17 x -712811-43 x -281809-121 x -100147-137 x -88451-187 x -64801-473 x -25619-731 x -16577-1507 x -8041-2057 x -5891-2329 x -5203


How do I find the factor combinations of the number 12,117,787?

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 12,117,787, 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 12,117,787
-1 -12,117,787

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 12,117,787.

Example:
1 x 12,117,787 = 12,117,787
and
-1 x -12,117,787 = 12,117,787
Notice both answers equal 12,117,787

With that explanation out of the way, let's continue. Next, we take the number 12,117,787 and divide it by 2:

12,117,787 ÷ 2 = 6,058,893.5

If the quotient is a whole number, then 2 and 6,058,893.5 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 12,117,787
-1 -12,117,787

Now, we try dividing 12,117,787 by 3:

12,117,787 ÷ 3 = 4,039,262.3333

If the quotient is a whole number, then 3 and 4,039,262.3333 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 12,117,787
-1 -12,117,787

Let's try dividing by 4:

12,117,787 ÷ 4 = 3,029,446.75

If the quotient is a whole number, then 4 and 3,029,446.75 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 12,117,787
-1 12,117,787
Keep dividing by the next highest number until you cannot divide anymore.

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

11117431211371874737311,5072,0572,3295,2035,8918,04116,57725,61964,80188,451100,147281,809712,8111,101,61712,117,787
-1-11-17-43-121-137-187-473-731-1,507-2,057-2,329-5,203-5,891-8,041-16,577-25,619-64,801-88,451-100,147-281,809-712,811-1,101,617-12,117,787

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