Q: What are the factor combinations of the number 16,002,883?

 A:
Positive:   1 x 1600288313 x 123099119 x 84225767 x 238849247 x 64789871 x 18373967 x 165491273 x 12571
Negative: -1 x -16002883-13 x -1230991-19 x -842257-67 x -238849-247 x -64789-871 x -18373-967 x -16549-1273 x -12571


How do I find the factor combinations of the number 16,002,883?

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 16,002,883, 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 16,002,883
-1 -16,002,883

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 16,002,883.

Example:
1 x 16,002,883 = 16,002,883
and
-1 x -16,002,883 = 16,002,883
Notice both answers equal 16,002,883

With that explanation out of the way, let's continue. Next, we take the number 16,002,883 and divide it by 2:

16,002,883 ÷ 2 = 8,001,441.5

If the quotient is a whole number, then 2 and 8,001,441.5 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 16,002,883
-1 -16,002,883

Now, we try dividing 16,002,883 by 3:

16,002,883 ÷ 3 = 5,334,294.3333

If the quotient is a whole number, then 3 and 5,334,294.3333 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 16,002,883
-1 -16,002,883

Let's try dividing by 4:

16,002,883 ÷ 4 = 4,000,720.75

If the quotient is a whole number, then 4 and 4,000,720.75 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 16,002,883
-1 16,002,883
Keep dividing by the next highest number until you cannot divide anymore.

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

11319672478719671,27312,57116,54918,37364,789238,849842,2571,230,99116,002,883
-1-13-19-67-247-871-967-1,273-12,571-16,549-18,373-64,789-238,849-842,257-1,230,991-16,002,883

More Examples

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