Q: What are the factor combinations of the number 72,701,665?

 A:
Positive:   1 x 727016655 x 1454033331 x 2345215155 x 469043199 x 365335995 x 730672357 x 308456169 x 11785
Negative: -1 x -72701665-5 x -14540333-31 x -2345215-155 x -469043-199 x -365335-995 x -73067-2357 x -30845-6169 x -11785


How do I find the factor combinations of the number 72,701,665?

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 72,701,665, 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 72,701,665
-1 -72,701,665

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 72,701,665.

Example:
1 x 72,701,665 = 72,701,665
and
-1 x -72,701,665 = 72,701,665
Notice both answers equal 72,701,665

With that explanation out of the way, let's continue. Next, we take the number 72,701,665 and divide it by 2:

72,701,665 ÷ 2 = 36,350,832.5

If the quotient is a whole number, then 2 and 36,350,832.5 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 72,701,665
-1 -72,701,665

Now, we try dividing 72,701,665 by 3:

72,701,665 ÷ 3 = 24,233,888.3333

If the quotient is a whole number, then 3 and 24,233,888.3333 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 72,701,665
-1 -72,701,665

Let's try dividing by 4:

72,701,665 ÷ 4 = 18,175,416.25

If the quotient is a whole number, then 4 and 18,175,416.25 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 72,701,665
-1 72,701,665
Keep dividing by the next highest number until you cannot divide anymore.

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

15311551999952,3576,16911,78530,84573,067365,335469,0432,345,21514,540,33372,701,665
-1-5-31-155-199-995-2,357-6,169-11,785-30,845-73,067-365,335-469,043-2,345,215-14,540,333-72,701,665

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