Q: What are the factor combinations of the number 16,243,183?

 A:
Positive:   1 x 1624318311 x 147665383 x 195701913 x 17791
Negative: -1 x -16243183-11 x -1476653-83 x -195701-913 x -17791


How do I find the factor combinations of the number 16,243,183?

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 16,243,183, 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 16,243,183
-1 -16,243,183

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 16,243,183.

Example:
1 x 16,243,183 = 16,243,183
and
-1 x -16,243,183 = 16,243,183
Notice both answers equal 16,243,183

With that explanation out of the way, let's continue. Next, we take the number 16,243,183 and divide it by 2:

16,243,183 ÷ 2 = 8,121,591.5

If the quotient is a whole number, then 2 and 8,121,591.5 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 16,243,183
-1 -16,243,183

Now, we try dividing 16,243,183 by 3:

16,243,183 ÷ 3 = 5,414,394.3333

If the quotient is a whole number, then 3 and 5,414,394.3333 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 16,243,183
-1 -16,243,183

Let's try dividing by 4:

16,243,183 ÷ 4 = 4,060,795.75

If the quotient is a whole number, then 4 and 4,060,795.75 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 16,243,183
-1 16,243,183
Keep dividing by the next highest number until you cannot divide anymore.

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

1118391317,791195,7011,476,65316,243,183
-1-11-83-913-17,791-195,701-1,476,653-16,243,183

More Examples

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