Q: What are the factor combinations of the number 716,604,317?

 A:
Positive:   1 x 71660431711 x 6514584713 x 55123409143 x 5011219587 x 12207916457 x 1109817631 x 939078537 x 83941
Negative: -1 x -716604317-11 x -65145847-13 x -55123409-143 x -5011219-587 x -1220791-6457 x -110981-7631 x -93907-8537 x -83941


How do I find the factor combinations of the number 716,604,317?

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 716,604,317, 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.

1 716,604,317
-1 -716,604,317

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 716,604,317.

Example:
1 x 716,604,317 = 716,604,317
and
-1 x -716,604,317 = 716,604,317
Notice both answers equal 716,604,317

With that explanation out of the way, let's continue. Next, we take the number 716,604,317 and divide it by 2:

716,604,317 ÷ 2 = 358,302,158.5

If the quotient is a whole number, then 2 and 358,302,158.5 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:

1 716,604,317
-1 -716,604,317

Now, we try dividing 716,604,317 by 3:

716,604,317 ÷ 3 = 238,868,105.6667

If the quotient is a whole number, then 3 and 238,868,105.6667 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:

1 716,604,317
-1 -716,604,317

Let's try dividing by 4:

716,604,317 ÷ 4 = 179,151,079.25

If the quotient is a whole number, then 4 and 179,151,079.25 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:

1 716,604,317
-1 716,604,317
Keep dividing by the next highest number until you cannot divide anymore.

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

111131435876,4577,6318,53783,94193,907110,9811,220,7915,011,21955,123,40965,145,847716,604,317
-1-11-13-143-587-6,457-7,631-8,537-83,941-93,907-110,981-1,220,791-5,011,219-55,123,409-65,145,847-716,604,317

More Examples

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