Q: What are the factor combinations of the number 16,764,121?

 A:
Positive:   1 x 1676412111 x 152401141 x 408881451 x 37171
Negative: -1 x -16764121-11 x -1524011-41 x -408881-451 x -37171


How do I find the factor combinations of the number 16,764,121?

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 16,764,121, 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 16,764,121
-1 -16,764,121

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 16,764,121.

Example:
1 x 16,764,121 = 16,764,121
and
-1 x -16,764,121 = 16,764,121
Notice both answers equal 16,764,121

With that explanation out of the way, let's continue. Next, we take the number 16,764,121 and divide it by 2:

16,764,121 ÷ 2 = 8,382,060.5

If the quotient is a whole number, then 2 and 8,382,060.5 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 16,764,121
-1 -16,764,121

Now, we try dividing 16,764,121 by 3:

16,764,121 ÷ 3 = 5,588,040.3333

If the quotient is a whole number, then 3 and 5,588,040.3333 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 16,764,121
-1 -16,764,121

Let's try dividing by 4:

16,764,121 ÷ 4 = 4,191,030.25

If the quotient is a whole number, then 4 and 4,191,030.25 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 16,764,121
-1 16,764,121
Keep dividing by the next highest number until you cannot divide anymore.

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

1114145137,171408,8811,524,01116,764,121
-1-11-41-451-37,171-408,881-1,524,011-16,764,121

More Examples

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