Q: What are the factor combinations of the number 717,991?

 A:
Positive:   1 x 71799119 x 3778923 x 3121731 x 2316153 x 13547437 x 1643589 x 1219713 x 1007
Negative: -1 x -717991-19 x -37789-23 x -31217-31 x -23161-53 x -13547-437 x -1643-589 x -1219-713 x -1007


How do I find the factor combinations of the number 717,991?

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 717,991, 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.

1 717,991
-1 -717,991

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 717,991.

Example:
1 x 717,991 = 717,991
and
-1 x -717,991 = 717,991
Notice both answers equal 717,991

With that explanation out of the way, let's continue. Next, we take the number 717,991 and divide it by 2:

717,991 ÷ 2 = 358,995.5

If the quotient is a whole number, then 2 and 358,995.5 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:

1 717,991
-1 -717,991

Now, we try dividing 717,991 by 3:

717,991 ÷ 3 = 239,330.3333

If the quotient is a whole number, then 3 and 239,330.3333 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:

1 717,991
-1 -717,991

Let's try dividing by 4:

717,991 ÷ 4 = 179,497.75

If the quotient is a whole number, then 4 and 179,497.75 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:

1 717,991
-1 717,991
Keep dividing by the next highest number until you cannot divide anymore.

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

1192331534375897131,0071,2191,64313,54723,16131,21737,789717,991
-1-19-23-31-53-437-589-713-1,007-1,219-1,643-13,547-23,161-31,217-37,789-717,991

More Examples

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