Q: What are the factor combinations of the number 17,221,715?

 A:
Positive:   1 x 172217155 x 34443437 x 246024535 x 49204943 x 400505215 x 80101301 x 572151505 x 11443
Negative: -1 x -17221715-5 x -3444343-7 x -2460245-35 x -492049-43 x -400505-215 x -80101-301 x -57215-1505 x -11443


How do I find the factor combinations of the number 17,221,715?

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 17,221,715, 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 17,221,715
-1 -17,221,715

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 17,221,715.

Example:
1 x 17,221,715 = 17,221,715
and
-1 x -17,221,715 = 17,221,715
Notice both answers equal 17,221,715

With that explanation out of the way, let's continue. Next, we take the number 17,221,715 and divide it by 2:

17,221,715 ÷ 2 = 8,610,857.5

If the quotient is a whole number, then 2 and 8,610,857.5 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 17,221,715
-1 -17,221,715

Now, we try dividing 17,221,715 by 3:

17,221,715 ÷ 3 = 5,740,571.6667

If the quotient is a whole number, then 3 and 5,740,571.6667 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 17,221,715
-1 -17,221,715

Let's try dividing by 4:

17,221,715 ÷ 4 = 4,305,428.75

If the quotient is a whole number, then 4 and 4,305,428.75 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 17,221,715
-1 17,221,715
Keep dividing by the next highest number until you cannot divide anymore.

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

15735432153011,50511,44357,21580,101400,505492,0492,460,2453,444,34317,221,715
-1-5-7-35-43-215-301-1,505-11,443-57,215-80,101-400,505-492,049-2,460,245-3,444,343-17,221,715

More Examples

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