Q: What are the factor combinations of the number 72,765,605?

 A:
Positive:   1 x 727656055 x 1455312111 x 661505555 x 1323011467 x 1558152335 x 311632833 x 256855137 x 14165
Negative: -1 x -72765605-5 x -14553121-11 x -6615055-55 x -1323011-467 x -155815-2335 x -31163-2833 x -25685-5137 x -14165


How do I find the factor combinations of the number 72,765,605?

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 72,765,605, 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 72,765,605
-1 -72,765,605

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 72,765,605.

Example:
1 x 72,765,605 = 72,765,605
and
-1 x -72,765,605 = 72,765,605
Notice both answers equal 72,765,605

With that explanation out of the way, let's continue. Next, we take the number 72,765,605 and divide it by 2:

72,765,605 ÷ 2 = 36,382,802.5

If the quotient is a whole number, then 2 and 36,382,802.5 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 72,765,605
-1 -72,765,605

Now, we try dividing 72,765,605 by 3:

72,765,605 ÷ 3 = 24,255,201.6667

If the quotient is a whole number, then 3 and 24,255,201.6667 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 72,765,605
-1 -72,765,605

Let's try dividing by 4:

72,765,605 ÷ 4 = 18,191,401.25

If the quotient is a whole number, then 4 and 18,191,401.25 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 72,765,605
-1 72,765,605
Keep dividing by the next highest number until you cannot divide anymore.

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

1511554672,3352,8335,13714,16525,68531,163155,8151,323,0116,615,05514,553,12172,765,605
-1-5-11-55-467-2,335-2,833-5,137-14,165-25,685-31,163-155,815-1,323,011-6,615,055-14,553,121-72,765,605

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