Q: What are the factor combinations of the number 16,168,831?

 A:
Positive:   1 x 161688317 x 2309833113 x 143087791 x 20441
Negative: -1 x -16168831-7 x -2309833-113 x -143087-791 x -20441


How do I find the factor combinations of the number 16,168,831?

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 16,168,831, 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 16,168,831
-1 -16,168,831

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 16,168,831.

Example:
1 x 16,168,831 = 16,168,831
and
-1 x -16,168,831 = 16,168,831
Notice both answers equal 16,168,831

With that explanation out of the way, let's continue. Next, we take the number 16,168,831 and divide it by 2:

16,168,831 ÷ 2 = 8,084,415.5

If the quotient is a whole number, then 2 and 8,084,415.5 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 16,168,831
-1 -16,168,831

Now, we try dividing 16,168,831 by 3:

16,168,831 ÷ 3 = 5,389,610.3333

If the quotient is a whole number, then 3 and 5,389,610.3333 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 16,168,831
-1 -16,168,831

Let's try dividing by 4:

16,168,831 ÷ 4 = 4,042,207.75

If the quotient is a whole number, then 4 and 4,042,207.75 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 16,168,831
-1 16,168,831
Keep dividing by the next highest number until you cannot divide anymore.

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

1711379120,441143,0872,309,83316,168,831
-1-7-113-791-20,441-143,087-2,309,833-16,168,831

More Examples

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