Q: What are the factor combinations of the number 17,990,165?

 A:
Positive:   1 x 179901655 x 359803317 x 105824585 x 211649113 x 159205565 x 318411873 x 96051921 x 9365
Negative: -1 x -17990165-5 x -3598033-17 x -1058245-85 x -211649-113 x -159205-565 x -31841-1873 x -9605-1921 x -9365


How do I find the factor combinations of the number 17,990,165?

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 17,990,165, 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 17,990,165
-1 -17,990,165

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 17,990,165.

Example:
1 x 17,990,165 = 17,990,165
and
-1 x -17,990,165 = 17,990,165
Notice both answers equal 17,990,165

With that explanation out of the way, let's continue. Next, we take the number 17,990,165 and divide it by 2:

17,990,165 ÷ 2 = 8,995,082.5

If the quotient is a whole number, then 2 and 8,995,082.5 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 17,990,165
-1 -17,990,165

Now, we try dividing 17,990,165 by 3:

17,990,165 ÷ 3 = 5,996,721.6667

If the quotient is a whole number, then 3 and 5,996,721.6667 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 17,990,165
-1 -17,990,165

Let's try dividing by 4:

17,990,165 ÷ 4 = 4,497,541.25

If the quotient is a whole number, then 4 and 4,497,541.25 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 17,990,165
-1 17,990,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851135651,8731,9219,3659,60531,841159,205211,6491,058,2453,598,03317,990,165
-1-5-17-85-113-565-1,873-1,921-9,365-9,605-31,841-159,205-211,649-1,058,245-3,598,033-17,990,165

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