Q: What are the factor combinations of the number 717,335,815?

 A:
Positive:   1 x 7173358155 x 1434671637 x 10247654531 x 2313986535 x 20495309155 x 4627973217 x 33056951085 x 661139
Negative: -1 x -717335815-5 x -143467163-7 x -102476545-31 x -23139865-35 x -20495309-155 x -4627973-217 x -3305695-1085 x -661139


How do I find the factor combinations of the number 717,335,815?

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 717,335,815, 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.

1 717,335,815
-1 -717,335,815

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 717,335,815.

Example:
1 x 717,335,815 = 717,335,815
and
-1 x -717,335,815 = 717,335,815
Notice both answers equal 717,335,815

With that explanation out of the way, let's continue. Next, we take the number 717,335,815 and divide it by 2:

717,335,815 ÷ 2 = 358,667,907.5

If the quotient is a whole number, then 2 and 358,667,907.5 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:

1 717,335,815
-1 -717,335,815

Now, we try dividing 717,335,815 by 3:

717,335,815 ÷ 3 = 239,111,938.3333

If the quotient is a whole number, then 3 and 239,111,938.3333 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:

1 717,335,815
-1 -717,335,815

Let's try dividing by 4:

717,335,815 ÷ 4 = 179,333,953.75

If the quotient is a whole number, then 4 and 179,333,953.75 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:

1 717,335,815
-1 717,335,815
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,085661,1393,305,6954,627,97320,495,30923,139,865102,476,545143,467,163717,335,815
-1-5-7-31-35-155-217-1,085-661,139-3,305,695-4,627,973-20,495,309-23,139,865-102,476,545-143,467,163-717,335,815

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