Q: What are the factor combinations of the number 16,210,621?

 A:
Positive:   1 x 162106217 x 231580341 x 39538149 x 330829287 x 564832009 x 8069
Negative: -1 x -16210621-7 x -2315803-41 x -395381-49 x -330829-287 x -56483-2009 x -8069


How do I find the factor combinations of the number 16,210,621?

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 16,210,621, 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 16,210,621
-1 -16,210,621

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 16,210,621.

Example:
1 x 16,210,621 = 16,210,621
and
-1 x -16,210,621 = 16,210,621
Notice both answers equal 16,210,621

With that explanation out of the way, let's continue. Next, we take the number 16,210,621 and divide it by 2:

16,210,621 ÷ 2 = 8,105,310.5

If the quotient is a whole number, then 2 and 8,105,310.5 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 16,210,621
-1 -16,210,621

Now, we try dividing 16,210,621 by 3:

16,210,621 ÷ 3 = 5,403,540.3333

If the quotient is a whole number, then 3 and 5,403,540.3333 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 16,210,621
-1 -16,210,621

Let's try dividing by 4:

16,210,621 ÷ 4 = 4,052,655.25

If the quotient is a whole number, then 4 and 4,052,655.25 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 16,210,621
-1 16,210,621
Keep dividing by the next highest number until you cannot divide anymore.

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

1741492872,0098,06956,483330,829395,3812,315,80316,210,621
-1-7-41-49-287-2,009-8,069-56,483-330,829-395,381-2,315,803-16,210,621

More Examples

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