Q: What are the factor combinations of the number 68,062,709?

 A:
Positive:   1 x 6806270911 x 618751913 x 5235593103 x 660803143 x 4759631133 x 600731339 x 508314621 x 14729
Negative: -1 x -68062709-11 x -6187519-13 x -5235593-103 x -660803-143 x -475963-1133 x -60073-1339 x -50831-4621 x -14729


How do I find the factor combinations of the number 68,062,709?

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 68,062,709, 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 68,062,709
-1 -68,062,709

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 68,062,709.

Example:
1 x 68,062,709 = 68,062,709
and
-1 x -68,062,709 = 68,062,709
Notice both answers equal 68,062,709

With that explanation out of the way, let's continue. Next, we take the number 68,062,709 and divide it by 2:

68,062,709 ÷ 2 = 34,031,354.5

If the quotient is a whole number, then 2 and 34,031,354.5 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 68,062,709
-1 -68,062,709

Now, we try dividing 68,062,709 by 3:

68,062,709 ÷ 3 = 22,687,569.6667

If the quotient is a whole number, then 3 and 22,687,569.6667 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 68,062,709
-1 -68,062,709

Let's try dividing by 4:

68,062,709 ÷ 4 = 17,015,677.25

If the quotient is a whole number, then 4 and 17,015,677.25 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 68,062,709
-1 68,062,709
Keep dividing by the next highest number until you cannot divide anymore.

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

111131031431,1331,3394,62114,72950,83160,073475,963660,8035,235,5936,187,51968,062,709
-1-11-13-103-143-1,133-1,339-4,621-14,729-50,831-60,073-475,963-660,803-5,235,593-6,187,519-68,062,709

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