Q: What are the factor combinations of the number 16,080,385?

 A:
Positive:   1 x 160803855 x 321607717 x 94590537 x 43460585 x 189181185 x 86921629 x 255653145 x 5113
Negative: -1 x -16080385-5 x -3216077-17 x -945905-37 x -434605-85 x -189181-185 x -86921-629 x -25565-3145 x -5113


How do I find the factor combinations of the number 16,080,385?

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 16,080,385, 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 16,080,385
-1 -16,080,385

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 16,080,385.

Example:
1 x 16,080,385 = 16,080,385
and
-1 x -16,080,385 = 16,080,385
Notice both answers equal 16,080,385

With that explanation out of the way, let's continue. Next, we take the number 16,080,385 and divide it by 2:

16,080,385 ÷ 2 = 8,040,192.5

If the quotient is a whole number, then 2 and 8,040,192.5 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 16,080,385
-1 -16,080,385

Now, we try dividing 16,080,385 by 3:

16,080,385 ÷ 3 = 5,360,128.3333

If the quotient is a whole number, then 3 and 5,360,128.3333 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 16,080,385
-1 -16,080,385

Let's try dividing by 4:

16,080,385 ÷ 4 = 4,020,096.25

If the quotient is a whole number, then 4 and 4,020,096.25 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 16,080,385
-1 16,080,385
Keep dividing by the next highest number until you cannot divide anymore.

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

151737851856293,1455,11325,56586,921189,181434,605945,9053,216,07716,080,385
-1-5-17-37-85-185-629-3,145-5,113-25,565-86,921-189,181-434,605-945,905-3,216,077-16,080,385

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