Q: What are the factor combinations of the number 18,359,605?

 A:
Positive:   1 x 183596055 x 367192111 x 166905519 x 96629555 x 33381195 x 193259209 x 878451045 x 17569
Negative: -1 x -18359605-5 x -3671921-11 x -1669055-19 x -966295-55 x -333811-95 x -193259-209 x -87845-1045 x -17569


How do I find the factor combinations of the number 18,359,605?

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 18,359,605, 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 18,359,605
-1 -18,359,605

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 18,359,605.

Example:
1 x 18,359,605 = 18,359,605
and
-1 x -18,359,605 = 18,359,605
Notice both answers equal 18,359,605

With that explanation out of the way, let's continue. Next, we take the number 18,359,605 and divide it by 2:

18,359,605 ÷ 2 = 9,179,802.5

If the quotient is a whole number, then 2 and 9,179,802.5 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 18,359,605
-1 -18,359,605

Now, we try dividing 18,359,605 by 3:

18,359,605 ÷ 3 = 6,119,868.3333

If the quotient is a whole number, then 3 and 6,119,868.3333 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 18,359,605
-1 -18,359,605

Let's try dividing by 4:

18,359,605 ÷ 4 = 4,589,901.25

If the quotient is a whole number, then 4 and 4,589,901.25 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 18,359,605
-1 18,359,605
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,04517,56987,845193,259333,811966,2951,669,0553,671,92118,359,605
-1-5-11-19-55-95-209-1,045-17,569-87,845-193,259-333,811-966,295-1,669,055-3,671,921-18,359,605

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