Q: What are the factor combinations of the number 17,236,163?

 A:
Positive:   1 x 172361637 x 246230943 x 400841173 x 99631301 x 57263331 x 520731211 x 142332317 x 7439
Negative: -1 x -17236163-7 x -2462309-43 x -400841-173 x -99631-301 x -57263-331 x -52073-1211 x -14233-2317 x -7439


How do I find the factor combinations of the number 17,236,163?

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 17,236,163, 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 17,236,163
-1 -17,236,163

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 17,236,163.

Example:
1 x 17,236,163 = 17,236,163
and
-1 x -17,236,163 = 17,236,163
Notice both answers equal 17,236,163

With that explanation out of the way, let's continue. Next, we take the number 17,236,163 and divide it by 2:

17,236,163 ÷ 2 = 8,618,081.5

If the quotient is a whole number, then 2 and 8,618,081.5 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 17,236,163
-1 -17,236,163

Now, we try dividing 17,236,163 by 3:

17,236,163 ÷ 3 = 5,745,387.6667

If the quotient is a whole number, then 3 and 5,745,387.6667 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 17,236,163
-1 -17,236,163

Let's try dividing by 4:

17,236,163 ÷ 4 = 4,309,040.75

If the quotient is a whole number, then 4 and 4,309,040.75 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 17,236,163
-1 17,236,163
Keep dividing by the next highest number until you cannot divide anymore.

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

17431733013311,2112,3177,43914,23352,07357,26399,631400,8412,462,30917,236,163
-1-7-43-173-301-331-1,211-2,317-7,439-14,233-52,073-57,263-99,631-400,841-2,462,309-17,236,163

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