Q: What are the factor combinations of the number 16,221,335?

 A:
Positive:   1 x 162213355 x 324426713 x 124779565 x 249559479 x 33865521 x 311352395 x 67732605 x 6227
Negative: -1 x -16221335-5 x -3244267-13 x -1247795-65 x -249559-479 x -33865-521 x -31135-2395 x -6773-2605 x -6227


How do I find the factor combinations of the number 16,221,335?

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 16,221,335, 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 16,221,335
-1 -16,221,335

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 16,221,335.

Example:
1 x 16,221,335 = 16,221,335
and
-1 x -16,221,335 = 16,221,335
Notice both answers equal 16,221,335

With that explanation out of the way, let's continue. Next, we take the number 16,221,335 and divide it by 2:

16,221,335 ÷ 2 = 8,110,667.5

If the quotient is a whole number, then 2 and 8,110,667.5 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 16,221,335
-1 -16,221,335

Now, we try dividing 16,221,335 by 3:

16,221,335 ÷ 3 = 5,407,111.6667

If the quotient is a whole number, then 3 and 5,407,111.6667 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 16,221,335
-1 -16,221,335

Let's try dividing by 4:

16,221,335 ÷ 4 = 4,055,333.75

If the quotient is a whole number, then 4 and 4,055,333.75 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 16,221,335
-1 16,221,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1513654795212,3952,6056,2276,77331,13533,865249,5591,247,7953,244,26716,221,335
-1-5-13-65-479-521-2,395-2,605-6,227-6,773-31,135-33,865-249,559-1,247,795-3,244,267-16,221,335

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