Q: What are the factor combinations of the number 717,377,309?

 A:
Positive:   1 x 71737730911 x 6521611947 x 15263347517 x 1387577797 x 9000971741 x 4120498767 x 8182719151 x 37459
Negative: -1 x -717377309-11 x -65216119-47 x -15263347-517 x -1387577-797 x -900097-1741 x -412049-8767 x -81827-19151 x -37459


How do I find the factor combinations of the number 717,377,309?

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 717,377,309, 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.

1 717,377,309
-1 -717,377,309

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 717,377,309.

Example:
1 x 717,377,309 = 717,377,309
and
-1 x -717,377,309 = 717,377,309
Notice both answers equal 717,377,309

With that explanation out of the way, let's continue. Next, we take the number 717,377,309 and divide it by 2:

717,377,309 ÷ 2 = 358,688,654.5

If the quotient is a whole number, then 2 and 358,688,654.5 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:

1 717,377,309
-1 -717,377,309

Now, we try dividing 717,377,309 by 3:

717,377,309 ÷ 3 = 239,125,769.6667

If the quotient is a whole number, then 3 and 239,125,769.6667 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:

1 717,377,309
-1 -717,377,309

Let's try dividing by 4:

717,377,309 ÷ 4 = 179,344,327.25

If the quotient is a whole number, then 4 and 179,344,327.25 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:

1 717,377,309
-1 717,377,309
Keep dividing by the next highest number until you cannot divide anymore.

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

111475177971,7418,76719,15137,45981,827412,049900,0971,387,57715,263,34765,216,119717,377,309
-1-11-47-517-797-1,741-8,767-19,151-37,459-81,827-412,049-900,097-1,387,577-15,263,347-65,216,119-717,377,309

More Examples

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