Q: What are the factor combinations of the number 16,011,433?

 A:
Positive:   1 x 1601143317 x 94184919 x 842707323 x 49571361 x 443532609 x 6137
Negative: -1 x -16011433-17 x -941849-19 x -842707-323 x -49571-361 x -44353-2609 x -6137


How do I find the factor combinations of the number 16,011,433?

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 16,011,433, 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 16,011,433
-1 -16,011,433

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 16,011,433.

Example:
1 x 16,011,433 = 16,011,433
and
-1 x -16,011,433 = 16,011,433
Notice both answers equal 16,011,433

With that explanation out of the way, let's continue. Next, we take the number 16,011,433 and divide it by 2:

16,011,433 ÷ 2 = 8,005,716.5

If the quotient is a whole number, then 2 and 8,005,716.5 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 16,011,433
-1 -16,011,433

Now, we try dividing 16,011,433 by 3:

16,011,433 ÷ 3 = 5,337,144.3333

If the quotient is a whole number, then 3 and 5,337,144.3333 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 16,011,433
-1 -16,011,433

Let's try dividing by 4:

16,011,433 ÷ 4 = 4,002,858.25

If the quotient is a whole number, then 4 and 4,002,858.25 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 16,011,433
-1 16,011,433
Keep dividing by the next highest number until you cannot divide anymore.

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

117193233612,6096,13744,35349,571842,707941,84916,011,433
-1-17-19-323-361-2,609-6,137-44,353-49,571-842,707-941,849-16,011,433

More Examples

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