Q: What are the factor combinations of the number 12,946,741?

 A:
Positive:   1 x 1294674117 x 76157343 x 30108789 x 145469199 x 65059731 x 177111513 x 85573383 x 3827
Negative: -1 x -12946741-17 x -761573-43 x -301087-89 x -145469-199 x -65059-731 x -17711-1513 x -8557-3383 x -3827


How do I find the factor combinations of the number 12,946,741?

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 12,946,741, 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 12,946,741
-1 -12,946,741

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 12,946,741.

Example:
1 x 12,946,741 = 12,946,741
and
-1 x -12,946,741 = 12,946,741
Notice both answers equal 12,946,741

With that explanation out of the way, let's continue. Next, we take the number 12,946,741 and divide it by 2:

12,946,741 ÷ 2 = 6,473,370.5

If the quotient is a whole number, then 2 and 6,473,370.5 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 12,946,741
-1 -12,946,741

Now, we try dividing 12,946,741 by 3:

12,946,741 ÷ 3 = 4,315,580.3333

If the quotient is a whole number, then 3 and 4,315,580.3333 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 12,946,741
-1 -12,946,741

Let's try dividing by 4:

12,946,741 ÷ 4 = 3,236,685.25

If the quotient is a whole number, then 4 and 3,236,685.25 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 12,946,741
-1 12,946,741
Keep dividing by the next highest number until you cannot divide anymore.

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

11743891997311,5133,3833,8278,55717,71165,059145,469301,087761,57312,946,741
-1-17-43-89-199-731-1,513-3,383-3,827-8,557-17,711-65,059-145,469-301,087-761,573-12,946,741

More Examples

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