Q: What are the factor combinations of the number 717,471,443?

 A:
Positive:   1 x 71747144313 x 5519011167 x 1070852979 x 9081917871 x 8237331027 x 6986095293 x 13555110427 x 68809
Negative: -1 x -717471443-13 x -55190111-67 x -10708529-79 x -9081917-871 x -823733-1027 x -698609-5293 x -135551-10427 x -68809


How do I find the factor combinations of the number 717,471,443?

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 717,471,443, 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.

1 717,471,443
-1 -717,471,443

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 717,471,443.

Example:
1 x 717,471,443 = 717,471,443
and
-1 x -717,471,443 = 717,471,443
Notice both answers equal 717,471,443

With that explanation out of the way, let's continue. Next, we take the number 717,471,443 and divide it by 2:

717,471,443 ÷ 2 = 358,735,721.5

If the quotient is a whole number, then 2 and 358,735,721.5 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:

1 717,471,443
-1 -717,471,443

Now, we try dividing 717,471,443 by 3:

717,471,443 ÷ 3 = 239,157,147.6667

If the quotient is a whole number, then 3 and 239,157,147.6667 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:

1 717,471,443
-1 -717,471,443

Let's try dividing by 4:

717,471,443 ÷ 4 = 179,367,860.75

If the quotient is a whole number, then 4 and 179,367,860.75 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:

1 717,471,443
-1 717,471,443
Keep dividing by the next highest number until you cannot divide anymore.

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

11367798711,0275,29310,42768,809135,551698,609823,7339,081,91710,708,52955,190,111717,471,443
-1-13-67-79-871-1,027-5,293-10,427-68,809-135,551-698,609-823,733-9,081,917-10,708,529-55,190,111-717,471,443

More Examples

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