Q: What are the factor combinations of the number 717,318,685?

 A:
Positive:   1 x 7173186855 x 14346373719 x 3775361595 x 7550723283 x 25346951415 x 5069395377 x 13340526681 x 26885
Negative: -1 x -717318685-5 x -143463737-19 x -37753615-95 x -7550723-283 x -2534695-1415 x -506939-5377 x -133405-26681 x -26885


How do I find the factor combinations of the number 717,318,685?

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 717,318,685, 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.

1 717,318,685
-1 -717,318,685

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 717,318,685.

Example:
1 x 717,318,685 = 717,318,685
and
-1 x -717,318,685 = 717,318,685
Notice both answers equal 717,318,685

With that explanation out of the way, let's continue. Next, we take the number 717,318,685 and divide it by 2:

717,318,685 ÷ 2 = 358,659,342.5

If the quotient is a whole number, then 2 and 358,659,342.5 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:

1 717,318,685
-1 -717,318,685

Now, we try dividing 717,318,685 by 3:

717,318,685 ÷ 3 = 239,106,228.3333

If the quotient is a whole number, then 3 and 239,106,228.3333 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:

1 717,318,685
-1 -717,318,685

Let's try dividing by 4:

717,318,685 ÷ 4 = 179,329,671.25

If the quotient is a whole number, then 4 and 179,329,671.25 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:

1 717,318,685
-1 717,318,685
Keep dividing by the next highest number until you cannot divide anymore.

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

1519952831,4155,37726,68126,885133,405506,9392,534,6957,550,72337,753,615143,463,737717,318,685
-1-5-19-95-283-1,415-5,377-26,681-26,885-133,405-506,939-2,534,695-7,550,723-37,753,615-143,463,737-717,318,685

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