Q: What are the factor combinations of the number 18,480,875?

 A:
Positive:   1 x 184808755 x 36961757 x 264012525 x 73923535 x 528025125 x 147847175 x 105605875 x 21121
Negative: -1 x -18480875-5 x -3696175-7 x -2640125-25 x -739235-35 x -528025-125 x -147847-175 x -105605-875 x -21121


How do I find the factor combinations of the number 18,480,875?

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 18,480,875, 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 18,480,875
-1 -18,480,875

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 18,480,875.

Example:
1 x 18,480,875 = 18,480,875
and
-1 x -18,480,875 = 18,480,875
Notice both answers equal 18,480,875

With that explanation out of the way, let's continue. Next, we take the number 18,480,875 and divide it by 2:

18,480,875 ÷ 2 = 9,240,437.5

If the quotient is a whole number, then 2 and 9,240,437.5 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 18,480,875
-1 -18,480,875

Now, we try dividing 18,480,875 by 3:

18,480,875 ÷ 3 = 6,160,291.6667

If the quotient is a whole number, then 3 and 6,160,291.6667 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 18,480,875
-1 -18,480,875

Let's try dividing by 4:

18,480,875 ÷ 4 = 4,620,218.75

If the quotient is a whole number, then 4 and 4,620,218.75 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 18,480,875
-1 18,480,875
Keep dividing by the next highest number until you cannot divide anymore.

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

157253512517587521,121105,605147,847528,025739,2352,640,1253,696,17518,480,875
-1-5-7-25-35-125-175-875-21,121-105,605-147,847-528,025-739,235-2,640,125-3,696,175-18,480,875

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