Q: What are the factor combinations of the number 16,002,889?

 A:
Positive:   1 x 160028897 x 228612747 x 340487127 x 126007329 x 48641383 x 41783889 x 180012681 x 5969
Negative: -1 x -16002889-7 x -2286127-47 x -340487-127 x -126007-329 x -48641-383 x -41783-889 x -18001-2681 x -5969


How do I find the factor combinations of the number 16,002,889?

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 16,002,889, 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 16,002,889
-1 -16,002,889

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 16,002,889.

Example:
1 x 16,002,889 = 16,002,889
and
-1 x -16,002,889 = 16,002,889
Notice both answers equal 16,002,889

With that explanation out of the way, let's continue. Next, we take the number 16,002,889 and divide it by 2:

16,002,889 ÷ 2 = 8,001,444.5

If the quotient is a whole number, then 2 and 8,001,444.5 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 16,002,889
-1 -16,002,889

Now, we try dividing 16,002,889 by 3:

16,002,889 ÷ 3 = 5,334,296.3333

If the quotient is a whole number, then 3 and 5,334,296.3333 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 16,002,889
-1 -16,002,889

Let's try dividing by 4:

16,002,889 ÷ 4 = 4,000,722.25

If the quotient is a whole number, then 4 and 4,000,722.25 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 16,002,889
-1 16,002,889
Keep dividing by the next highest number until you cannot divide anymore.

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

17471273293838892,6815,96918,00141,78348,641126,007340,4872,286,12716,002,889
-1-7-47-127-329-383-889-2,681-5,969-18,001-41,783-48,641-126,007-340,487-2,286,127-16,002,889

More Examples

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