Q: What are the factor combinations of the number 18,059,945?

 A:
Positive:   1 x 180599455 x 361198923 x 78521597 x 186185115 x 157043485 x 372371619 x 111552231 x 8095
Negative: -1 x -18059945-5 x -3611989-23 x -785215-97 x -186185-115 x -157043-485 x -37237-1619 x -11155-2231 x -8095


How do I find the factor combinations of the number 18,059,945?

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 18,059,945, 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 18,059,945
-1 -18,059,945

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 18,059,945.

Example:
1 x 18,059,945 = 18,059,945
and
-1 x -18,059,945 = 18,059,945
Notice both answers equal 18,059,945

With that explanation out of the way, let's continue. Next, we take the number 18,059,945 and divide it by 2:

18,059,945 ÷ 2 = 9,029,972.5

If the quotient is a whole number, then 2 and 9,029,972.5 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 18,059,945
-1 -18,059,945

Now, we try dividing 18,059,945 by 3:

18,059,945 ÷ 3 = 6,019,981.6667

If the quotient is a whole number, then 3 and 6,019,981.6667 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 18,059,945
-1 -18,059,945

Let's try dividing by 4:

18,059,945 ÷ 4 = 4,514,986.25

If the quotient is a whole number, then 4 and 4,514,986.25 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 18,059,945
-1 18,059,945
Keep dividing by the next highest number until you cannot divide anymore.

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

1523971154851,6192,2318,09511,15537,237157,043186,185785,2153,611,98918,059,945
-1-5-23-97-115-485-1,619-2,231-8,095-11,155-37,237-157,043-186,185-785,215-3,611,989-18,059,945

More Examples

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