Q: What are the factor combinations of the number 16,022,783?

 A:
Positive:   1 x 160227837 x 228896971 x 225673103 x 155561313 x 51191497 x 32239721 x 222232191 x 7313
Negative: -1 x -16022783-7 x -2288969-71 x -225673-103 x -155561-313 x -51191-497 x -32239-721 x -22223-2191 x -7313


How do I find the factor combinations of the number 16,022,783?

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 16,022,783, 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 16,022,783
-1 -16,022,783

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 16,022,783.

Example:
1 x 16,022,783 = 16,022,783
and
-1 x -16,022,783 = 16,022,783
Notice both answers equal 16,022,783

With that explanation out of the way, let's continue. Next, we take the number 16,022,783 and divide it by 2:

16,022,783 ÷ 2 = 8,011,391.5

If the quotient is a whole number, then 2 and 8,011,391.5 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 16,022,783
-1 -16,022,783

Now, we try dividing 16,022,783 by 3:

16,022,783 ÷ 3 = 5,340,927.6667

If the quotient is a whole number, then 3 and 5,340,927.6667 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 16,022,783
-1 -16,022,783

Let's try dividing by 4:

16,022,783 ÷ 4 = 4,005,695.75

If the quotient is a whole number, then 4 and 4,005,695.75 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 16,022,783
-1 16,022,783
Keep dividing by the next highest number until you cannot divide anymore.

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

17711033134977212,1917,31322,22332,23951,191155,561225,6732,288,96916,022,783
-1-7-71-103-313-497-721-2,191-7,313-22,223-32,239-51,191-155,561-225,673-2,288,969-16,022,783

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