Q: What are the factor combinations of the number 16,164,991?

 A:
Positive:   1 x 1616499119 x 850789487 x 331931747 x 9253
Negative: -1 x -16164991-19 x -850789-487 x -33193-1747 x -9253


How do I find the factor combinations of the number 16,164,991?

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 16,164,991, 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 16,164,991
-1 -16,164,991

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 16,164,991.

Example:
1 x 16,164,991 = 16,164,991
and
-1 x -16,164,991 = 16,164,991
Notice both answers equal 16,164,991

With that explanation out of the way, let's continue. Next, we take the number 16,164,991 and divide it by 2:

16,164,991 ÷ 2 = 8,082,495.5

If the quotient is a whole number, then 2 and 8,082,495.5 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 16,164,991
-1 -16,164,991

Now, we try dividing 16,164,991 by 3:

16,164,991 ÷ 3 = 5,388,330.3333

If the quotient is a whole number, then 3 and 5,388,330.3333 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 16,164,991
-1 -16,164,991

Let's try dividing by 4:

16,164,991 ÷ 4 = 4,041,247.75

If the quotient is a whole number, then 4 and 4,041,247.75 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 16,164,991
-1 16,164,991
Keep dividing by the next highest number until you cannot divide anymore.

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

1194871,7479,25333,193850,78916,164,991
-1-19-487-1,747-9,253-33,193-850,789-16,164,991

More Examples

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