Q: What are the factor combinations of the number 18,026,675?

 A:
Positive:   1 x 180266755 x 360533525 x 72106741 x 43967543 x 419225205 x 87935215 x 83845409 x 440751025 x 175871075 x 167691763 x 102252045 x 8815
Negative: -1 x -18026675-5 x -3605335-25 x -721067-41 x -439675-43 x -419225-205 x -87935-215 x -83845-409 x -44075-1025 x -17587-1075 x -16769-1763 x -10225-2045 x -8815


How do I find the factor combinations of the number 18,026,675?

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 18,026,675, 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 18,026,675
-1 -18,026,675

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 18,026,675.

Example:
1 x 18,026,675 = 18,026,675
and
-1 x -18,026,675 = 18,026,675
Notice both answers equal 18,026,675

With that explanation out of the way, let's continue. Next, we take the number 18,026,675 and divide it by 2:

18,026,675 ÷ 2 = 9,013,337.5

If the quotient is a whole number, then 2 and 9,013,337.5 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 18,026,675
-1 -18,026,675

Now, we try dividing 18,026,675 by 3:

18,026,675 ÷ 3 = 6,008,891.6667

If the quotient is a whole number, then 3 and 6,008,891.6667 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 18,026,675
-1 -18,026,675

Let's try dividing by 4:

18,026,675 ÷ 4 = 4,506,668.75

If the quotient is a whole number, then 4 and 4,506,668.75 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 18,026,675
-1 18,026,675
Keep dividing by the next highest number until you cannot divide anymore.

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

152541432052154091,0251,0751,7632,0458,81510,22516,76917,58744,07583,84587,935419,225439,675721,0673,605,33518,026,675
-1-5-25-41-43-205-215-409-1,025-1,075-1,763-2,045-8,815-10,225-16,769-17,587-44,075-83,845-87,935-419,225-439,675-721,067-3,605,335-18,026,675

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