Q: What are the factor combinations of the number 16,426,621?

 A:
Positive:   1 x 1642662119 x 86455931 x 529891167 x 98363589 x 278893173 x 5177
Negative: -1 x -16426621-19 x -864559-31 x -529891-167 x -98363-589 x -27889-3173 x -5177


How do I find the factor combinations of the number 16,426,621?

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 16,426,621, 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 16,426,621
-1 -16,426,621

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 16,426,621.

Example:
1 x 16,426,621 = 16,426,621
and
-1 x -16,426,621 = 16,426,621
Notice both answers equal 16,426,621

With that explanation out of the way, let's continue. Next, we take the number 16,426,621 and divide it by 2:

16,426,621 ÷ 2 = 8,213,310.5

If the quotient is a whole number, then 2 and 8,213,310.5 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 16,426,621
-1 -16,426,621

Now, we try dividing 16,426,621 by 3:

16,426,621 ÷ 3 = 5,475,540.3333

If the quotient is a whole number, then 3 and 5,475,540.3333 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 16,426,621
-1 -16,426,621

Let's try dividing by 4:

16,426,621 ÷ 4 = 4,106,655.25

If the quotient is a whole number, then 4 and 4,106,655.25 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 16,426,621
-1 16,426,621
Keep dividing by the next highest number until you cannot divide anymore.

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

119311675893,1735,17727,88998,363529,891864,55916,426,621
-1-19-31-167-589-3,173-5,177-27,889-98,363-529,891-864,559-16,426,621

More Examples

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