Q: What are the factor combinations of the number 68,163,625?

 A:
Positive:   1 x 681636255 x 1363272517 x 400962525 x 272654585 x 801925125 x 545309425 x 1603852125 x 32077
Negative: -1 x -68163625-5 x -13632725-17 x -4009625-25 x -2726545-85 x -801925-125 x -545309-425 x -160385-2125 x -32077


How do I find the factor combinations of the number 68,163,625?

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 68,163,625, 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 68,163,625
-1 -68,163,625

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 68,163,625.

Example:
1 x 68,163,625 = 68,163,625
and
-1 x -68,163,625 = 68,163,625
Notice both answers equal 68,163,625

With that explanation out of the way, let's continue. Next, we take the number 68,163,625 and divide it by 2:

68,163,625 ÷ 2 = 34,081,812.5

If the quotient is a whole number, then 2 and 34,081,812.5 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 68,163,625
-1 -68,163,625

Now, we try dividing 68,163,625 by 3:

68,163,625 ÷ 3 = 22,721,208.3333

If the quotient is a whole number, then 3 and 22,721,208.3333 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 68,163,625
-1 -68,163,625

Let's try dividing by 4:

68,163,625 ÷ 4 = 17,040,906.25

If the quotient is a whole number, then 4 and 17,040,906.25 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 68,163,625
-1 68,163,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851254252,12532,077160,385545,309801,9252,726,5454,009,62513,632,72568,163,625
-1-5-17-25-85-125-425-2,125-32,077-160,385-545,309-801,925-2,726,545-4,009,625-13,632,725-68,163,625

More Examples

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