Q: What are the factor combinations of the number 16,324,933?

 A:
Positive:   1 x 1632493319 x 85920747 x 347339101 x 161633181 x 90193893 x 182811919 x 85073439 x 4747
Negative: -1 x -16324933-19 x -859207-47 x -347339-101 x -161633-181 x -90193-893 x -18281-1919 x -8507-3439 x -4747


How do I find the factor combinations of the number 16,324,933?

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 16,324,933, 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 16,324,933
-1 -16,324,933

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 16,324,933.

Example:
1 x 16,324,933 = 16,324,933
and
-1 x -16,324,933 = 16,324,933
Notice both answers equal 16,324,933

With that explanation out of the way, let's continue. Next, we take the number 16,324,933 and divide it by 2:

16,324,933 ÷ 2 = 8,162,466.5

If the quotient is a whole number, then 2 and 8,162,466.5 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 16,324,933
-1 -16,324,933

Now, we try dividing 16,324,933 by 3:

16,324,933 ÷ 3 = 5,441,644.3333

If the quotient is a whole number, then 3 and 5,441,644.3333 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 16,324,933
-1 -16,324,933

Let's try dividing by 4:

16,324,933 ÷ 4 = 4,081,233.25

If the quotient is a whole number, then 4 and 4,081,233.25 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 16,324,933
-1 16,324,933
Keep dividing by the next highest number until you cannot divide anymore.

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

119471011818931,9193,4394,7478,50718,28190,193161,633347,339859,20716,324,933
-1-19-47-101-181-893-1,919-3,439-4,747-8,507-18,281-90,193-161,633-347,339-859,207-16,324,933

More Examples

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