Q: What are the factor combinations of the number 17,032,367?

 A:
Positive:   1 x 1703236711 x 154839729 x 587323107 x 159181319 x 53393499 x 341331177 x 144713103 x 5489
Negative: -1 x -17032367-11 x -1548397-29 x -587323-107 x -159181-319 x -53393-499 x -34133-1177 x -14471-3103 x -5489


How do I find the factor combinations of the number 17,032,367?

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 17,032,367, 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 17,032,367
-1 -17,032,367

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 17,032,367.

Example:
1 x 17,032,367 = 17,032,367
and
-1 x -17,032,367 = 17,032,367
Notice both answers equal 17,032,367

With that explanation out of the way, let's continue. Next, we take the number 17,032,367 and divide it by 2:

17,032,367 ÷ 2 = 8,516,183.5

If the quotient is a whole number, then 2 and 8,516,183.5 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 17,032,367
-1 -17,032,367

Now, we try dividing 17,032,367 by 3:

17,032,367 ÷ 3 = 5,677,455.6667

If the quotient is a whole number, then 3 and 5,677,455.6667 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 17,032,367
-1 -17,032,367

Let's try dividing by 4:

17,032,367 ÷ 4 = 4,258,091.75

If the quotient is a whole number, then 4 and 4,258,091.75 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 17,032,367
-1 17,032,367
Keep dividing by the next highest number until you cannot divide anymore.

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

111291073194991,1773,1035,48914,47134,13353,393159,181587,3231,548,39717,032,367
-1-11-29-107-319-499-1,177-3,103-5,489-14,471-34,133-53,393-159,181-587,323-1,548,397-17,032,367

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